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Finding the Fourth Proportional to 3,403.32, 5,105.40 and 938.28

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Solution

The fourth proportional to 3,403.32, 5,105.40 and 938.28 is: 1,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.32 : 5,105.40 = 938.28 : x
  2. Step 2: Convert to fraction form
    3,403.32/5,105.40 = 938.28/x
  3. Step 3: Cross multiply
    3,403.32x = 5,105.40 × 938.28
  4. Step 4: Simplify right side
    3,403.32x = 4,790,294.71
  5. Step 5: Solve for x
    x = 4,790,294.71/3,403.32
  6. Step 6: Final answer
    x = 1,407.54

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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.