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Finding the Fourth Proportional to 4,000.52, 5,520.57 and 2,509.22

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Solution

The fourth proportional to 4,000.52, 5,520.57 and 2,509.22 is: 3,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.52 : 5,520.57 = 2,509.22 : x
  2. Step 2: Convert to fraction form
    4,000.52/5,520.57 = 2,509.22/x
  3. Step 3: Cross multiply
    4,000.52x = 5,520.57 × 2,509.22
  4. Step 4: Simplify right side
    4,000.52x = 13,852,324.66
  5. Step 5: Solve for x
    x = 13,852,324.66/4,000.52
  6. Step 6: Final answer
    x = 3,462.63

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.