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Finding the Fourth Proportional to 3,397.57, 5,089.39 and 2,006.70

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Solution

The fourth proportional to 3,397.57, 5,089.39 and 2,006.70 is: 3,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.57 : 5,089.39 = 2,006.70 : x
  2. Step 2: Convert to fraction form
    3,397.57/5,089.39 = 2,006.70/x
  3. Step 3: Cross multiply
    3,397.57x = 5,089.39 × 2,006.70
  4. Step 4: Simplify right side
    3,397.57x = 10,212,878.91
  5. Step 5: Solve for x
    x = 10,212,878.91/3,397.57
  6. Step 6: Final answer
    x = 3,005.94

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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.