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Finding the Fourth Proportional to 3,686.43, 5,087.39 and 2,007.90

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Solution

The fourth proportional to 3,686.43, 5,087.39 and 2,007.90 is: 2,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.43 : 5,087.39 = 2,007.90 : x
  2. Step 2: Convert to fraction form
    3,686.43/5,087.39 = 2,007.90/x
  3. Step 3: Cross multiply
    3,686.43x = 5,087.39 × 2,007.90
  4. Step 4: Simplify right side
    3,686.43x = 10,214,970.38
  5. Step 5: Solve for x
    x = 10,214,970.38/3,686.43
  6. Step 6: Final answer
    x = 2,770.97

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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.