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Finding the Fourth Proportional to 3,902.74, 5,387.61 and 2,958.70

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Solution

The fourth proportional to 3,902.74, 5,387.61 and 2,958.70 is: 4,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.74 : 5,387.61 = 2,958.70 : x
  2. Step 2: Convert to fraction form
    3,902.74/5,387.61 = 2,958.70/x
  3. Step 3: Cross multiply
    3,902.74x = 5,387.61 × 2,958.70
  4. Step 4: Simplify right side
    3,902.74x = 15,940,321.71
  5. Step 5: Solve for x
    x = 15,940,321.71/3,902.74
  6. Step 6: Final answer
    x = 4,084.39

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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.