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Finding the Fourth Proportional to 3,405.72, 5,108.60 and 940.49

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Solution

The fourth proportional to 3,405.72, 5,108.60 and 940.49 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.72 : 5,108.60 = 940.49 : x
  2. Step 2: Convert to fraction form
    3,405.72/5,108.60 = 940.49/x
  3. Step 3: Cross multiply
    3,405.72x = 5,108.60 × 940.49
  4. Step 4: Simplify right side
    3,405.72x = 4,804,587.21
  5. Step 5: Solve for x
    x = 4,804,587.21/3,405.72
  6. Step 6: Final answer
    x = 1,410.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.