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Finding the Fourth Proportional to 5,614.31, 8,422.45 and 1,866.31

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Solution

The fourth proportional to 5,614.31, 8,422.45 and 1,866.31 is: 2,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 8,422.45 = 1,866.31 : x
  2. Step 2: Convert to fraction form
    5,614.31/8,422.45 = 1,866.31/x
  3. Step 3: Cross multiply
    5,614.31x = 8,422.45 × 1,866.31
  4. Step 4: Simplify right side
    5,614.31x = 15,718,876.94
  5. Step 5: Solve for x
    x = 15,718,876.94/5,614.31
  6. Step 6: Final answer
    x = 2,799.79

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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.