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Finding the Fourth Proportional to 5,833.68, 8,747.29 and 3,986.88

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Solution

The fourth proportional to 5,833.68, 8,747.29 and 3,986.88 is: 5,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.68 : 8,747.29 = 3,986.88 : x
  2. Step 2: Convert to fraction form
    5,833.68/8,747.29 = 3,986.88/x
  3. Step 3: Cross multiply
    5,833.68x = 8,747.29 × 3,986.88
  4. Step 4: Simplify right side
    5,833.68x = 34,874,395.56
  5. Step 5: Solve for x
    x = 34,874,395.56/5,833.68
  6. Step 6: Final answer
    x = 5,978.11

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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.