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Finding the Fourth Proportional to 4,253.72, 5,865.06 and 3,663.24

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Solution

The fourth proportional to 4,253.72, 5,865.06 and 3,663.24 is: 5,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.72 : 5,865.06 = 3,663.24 : x
  2. Step 2: Convert to fraction form
    4,253.72/5,865.06 = 3,663.24/x
  3. Step 3: Cross multiply
    4,253.72x = 5,865.06 × 3,663.24
  4. Step 4: Simplify right side
    4,253.72x = 21,485,122.39
  5. Step 5: Solve for x
    x = 21,485,122.39/4,253.72
  6. Step 6: Final answer
    x = 5,050.90

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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.