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Finding the Fourth Proportional to 5,614.46, 8,422.58 and 1,866.37

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Solution

The fourth proportional to 5,614.46, 8,422.58 and 1,866.37 is: 2,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.46 : 8,422.58 = 1,866.37 : x
  2. Step 2: Convert to fraction form
    5,614.46/8,422.58 = 1,866.37/x
  3. Step 3: Cross multiply
    5,614.46x = 8,422.58 × 1,866.37
  4. Step 4: Simplify right side
    5,614.46x = 15,719,620.25
  5. Step 5: Solve for x
    x = 15,719,620.25/5,614.46
  6. Step 6: Final answer
    x = 2,799.85

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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.