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Finding the Fourth Proportional to 3,397.69, 5,101.40 and 2,522.89

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Solution

The fourth proportional to 3,397.69, 5,101.40 and 2,522.89 is: 3,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.69 : 5,101.40 = 2,522.89 : x
  2. Step 2: Convert to fraction form
    3,397.69/5,101.40 = 2,522.89/x
  3. Step 3: Cross multiply
    3,397.69x = 5,101.40 × 2,522.89
  4. Step 4: Simplify right side
    3,397.69x = 12,870,271.05
  5. Step 5: Solve for x
    x = 12,870,271.05/3,397.69
  6. Step 6: Final answer
    x = 3,787.95

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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.