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Finding the Fourth Proportional to 3,164.73, 4,747.17 and 1,087.13

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Solution

The fourth proportional to 3,164.73, 4,747.17 and 1,087.13 is: 1,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.73 : 4,747.17 = 1,087.13 : x
  2. Step 2: Convert to fraction form
    3,164.73/4,747.17 = 1,087.13/x
  3. Step 3: Cross multiply
    3,164.73x = 4,747.17 × 1,087.13
  4. Step 4: Simplify right side
    3,164.73x = 5,160,767.19
  5. Step 5: Solve for x
    x = 5,160,767.19/3,164.73
  6. Step 6: Final answer
    x = 1,630.71

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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.