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Finding the Fourth Proportional to 5,746.52, 8,614.92 and 3,404

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Solution

The fourth proportional to 5,746.52, 8,614.92 and 3,404 is: 5,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.52 : 8,614.92 = 3,404 : x
  2. Step 2: Convert to fraction form
    5,746.52/8,614.92 = 3,404/x
  3. Step 3: Cross multiply
    5,746.52x = 8,614.92 × 3,404
  4. Step 4: Simplify right side
    5,746.52x = 29,325,187.68
  5. Step 5: Solve for x
    x = 29,325,187.68/5,746.52
  6. Step 6: Final answer
    x = 5,103.12

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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.