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Finding the Fourth Proportional to 3,614.10, 5,421.51 and 981.64

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Solution

The fourth proportional to 3,614.10, 5,421.51 and 981.64 is: 1,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.10 : 5,421.51 = 981.64 : x
  2. Step 2: Convert to fraction form
    3,614.10/5,421.51 = 981.64/x
  3. Step 3: Cross multiply
    3,614.10x = 5,421.51 × 981.64
  4. Step 4: Simplify right side
    3,614.10x = 5,321,966.17
  5. Step 5: Solve for x
    x = 5,321,966.17/3,614.10
  6. Step 6: Final answer
    x = 1,472.56

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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.