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Finding the Fourth Proportional to 3,614.35, 5,421.88 and 981.89

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Solution

The fourth proportional to 3,614.35, 5,421.88 and 981.89 is: 1,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.35 : 5,421.88 = 981.89 : x
  2. Step 2: Convert to fraction form
    3,614.35/5,421.88 = 981.89/x
  3. Step 3: Cross multiply
    3,614.35x = 5,421.88 × 981.89
  4. Step 4: Simplify right side
    3,614.35x = 5,323,689.75
  5. Step 5: Solve for x
    x = 5,323,689.75/3,614.35
  6. Step 6: Final answer
    x = 1,472.93

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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.