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Finding the Fourth Proportional to 3,402.52, 5,104.02 and 937.52

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Solution

The fourth proportional to 3,402.52, 5,104.02 and 937.52 is: 1,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.52 : 5,104.02 = 937.52 : x
  2. Step 2: Convert to fraction form
    3,402.52/5,104.02 = 937.52/x
  3. Step 3: Cross multiply
    3,402.52x = 5,104.02 × 937.52
  4. Step 4: Simplify right side
    3,402.52x = 4,785,120.83
  5. Step 5: Solve for x
    x = 4,785,120.83/3,402.52
  6. Step 6: Final answer
    x = 1,406.35

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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.