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Finding the Fourth Proportional to 6,587.12, 9,087.18 and 3,791

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Solution

The fourth proportional to 6,587.12, 9,087.18 and 3,791 is: 5,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.12 : 9,087.18 = 3,791 : x
  2. Step 2: Convert to fraction form
    6,587.12/9,087.18 = 3,791/x
  3. Step 3: Cross multiply
    6,587.12x = 9,087.18 × 3,791
  4. Step 4: Simplify right side
    6,587.12x = 34,449,499.38
  5. Step 5: Solve for x
    x = 34,449,499.38/6,587.12
  6. Step 6: Final answer
    x = 5,229.83

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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.