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Finding the Fourth Proportional to 4,706.13, 6,494.38 and 2,581.71

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Solution

The fourth proportional to 4,706.13, 6,494.38 and 2,581.71 is: 3,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.13 : 6,494.38 = 2,581.71 : x
  2. Step 2: Convert to fraction form
    4,706.13/6,494.38 = 2,581.71/x
  3. Step 3: Cross multiply
    4,706.13x = 6,494.38 × 2,581.71
  4. Step 4: Simplify right side
    4,706.13x = 16,766,605.79
  5. Step 5: Solve for x
    x = 16,766,605.79/4,706.13
  6. Step 6: Final answer
    x = 3,562.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.