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Finding the Fourth Proportional to 3,614.44, 5,421.92 and 1,534.21

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Solution

The fourth proportional to 3,614.44, 5,421.92 and 1,534.21 is: 2,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.44 : 5,421.92 = 1,534.21 : x
  2. Step 2: Convert to fraction form
    3,614.44/5,421.92 = 1,534.21/x
  3. Step 3: Cross multiply
    3,614.44x = 5,421.92 × 1,534.21
  4. Step 4: Simplify right side
    3,614.44x = 8,318,363.88
  5. Step 5: Solve for x
    x = 8,318,363.88/3,614.44
  6. Step 6: Final answer
    x = 2,301.43

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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.