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Finding the Fourth Proportional to 5,839.95, 8,059.14 and 3,187.38

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Solution

The fourth proportional to 5,839.95, 8,059.14 and 3,187.38 is: 4,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.95 : 8,059.14 = 3,187.38 : x
  2. Step 2: Convert to fraction form
    5,839.95/8,059.14 = 3,187.38/x
  3. Step 3: Cross multiply
    5,839.95x = 8,059.14 × 3,187.38
  4. Step 4: Simplify right side
    5,839.95x = 25,687,541.65
  5. Step 5: Solve for x
    x = 25,687,541.65/5,839.95
  6. Step 6: Final answer
    x = 4,398.59

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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.