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Finding the Fourth Proportional to 3,403.91, 5,106.17 and 938.68

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Solution

The fourth proportional to 3,403.91, 5,106.17 and 938.68 is: 1,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.91 : 5,106.17 = 938.68 : x
  2. Step 2: Convert to fraction form
    3,403.91/5,106.17 = 938.68/x
  3. Step 3: Cross multiply
    3,403.91x = 5,106.17 × 938.68
  4. Step 4: Simplify right side
    3,403.91x = 4,793,049.24
  5. Step 5: Solve for x
    x = 4,793,049.24/3,403.91
  6. Step 6: Final answer
    x = 1,408.10

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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.