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Finding the Fourth Proportional to 3,677.97, 5,516.91 and 1,337.97

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Solution

The fourth proportional to 3,677.97, 5,516.91 and 1,337.97 is: 2,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.97 : 5,516.91 = 1,337.97 : x
  2. Step 2: Convert to fraction form
    3,677.97/5,516.91 = 1,337.97/x
  3. Step 3: Cross multiply
    3,677.97x = 5,516.91 × 1,337.97
  4. Step 4: Simplify right side
    3,677.97x = 7,381,460.07
  5. Step 5: Solve for x
    x = 7,381,460.07/3,677.97
  6. Step 6: Final answer
    x = 2,006.94

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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.