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Finding the Fourth Proportional to 3,403.21, 5,104.92 and 938.07

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Solution

The fourth proportional to 3,403.21, 5,104.92 and 938.07 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.21 : 5,104.92 = 938.07 : x
  2. Step 2: Convert to fraction form
    3,403.21/5,104.92 = 938.07/x
  3. Step 3: Cross multiply
    3,403.21x = 5,104.92 × 938.07
  4. Step 4: Simplify right side
    3,403.21x = 4,788,772.30
  5. Step 5: Solve for x
    x = 4,788,772.30/3,403.21
  6. Step 6: Final answer
    x = 1,407.13

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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.