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Finding the Fourth Proportional to 3,403.52, 5,105.24 and 938.32

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Solution

The fourth proportional to 3,403.52, 5,105.24 and 938.32 is: 1,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.52 : 5,105.24 = 938.32 : x
  2. Step 2: Convert to fraction form
    3,403.52/5,105.24 = 938.32/x
  3. Step 3: Cross multiply
    3,403.52x = 5,105.24 × 938.32
  4. Step 4: Simplify right side
    3,403.52x = 4,790,329.03
  5. Step 5: Solve for x
    x = 4,790,329.03/3,403.52
  6. Step 6: Final answer
    x = 1,407.46

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