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Finding the Fourth Proportional to 8,581.74, 12,874.61 and 2,737.90

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Solution

The fourth proportional to 8,581.74, 12,874.61 and 2,737.90 is: 4,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.74 : 12,874.61 = 2,737.90 : x
  2. Step 2: Convert to fraction form
    8,581.74/12,874.61 = 2,737.90/x
  3. Step 3: Cross multiply
    8,581.74x = 12,874.61 × 2,737.90
  4. Step 4: Simplify right side
    8,581.74x = 35,249,394.72
  5. Step 5: Solve for x
    x = 35,249,394.72/8,581.74
  6. Step 6: Final answer
    x = 4,107.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.