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Finding the Fourth Proportional to 5,614.80, 8,422.20 and 2,154.48

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Solution

The fourth proportional to 5,614.80, 8,422.20 and 2,154.48 is: 3,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.80 : 8,422.20 = 2,154.48 : x
  2. Step 2: Convert to fraction form
    5,614.80/8,422.20 = 2,154.48/x
  3. Step 3: Cross multiply
    5,614.80x = 8,422.20 × 2,154.48
  4. Step 4: Simplify right side
    5,614.80x = 18,145,461.46
  5. Step 5: Solve for x
    x = 18,145,461.46/5,614.80
  6. Step 6: Final answer
    x = 3,231.72

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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.