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Finding the Fourth Proportional to 5,614.92, 8,422.30 and 2,494.10

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Solution

The fourth proportional to 5,614.92, 8,422.30 and 2,494.10 is: 3,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.92 : 8,422.30 = 2,494.10 : x
  2. Step 2: Convert to fraction form
    5,614.92/8,422.30 = 2,494.10/x
  3. Step 3: Cross multiply
    5,614.92x = 8,422.30 × 2,494.10
  4. Step 4: Simplify right side
    5,614.92x = 21,006,058.43
  5. Step 5: Solve for x
    x = 21,006,058.43/5,614.92
  6. Step 6: Final answer
    x = 3,741.11

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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.