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Finding the Fourth Proportional to 5,867.88, 8,098.29 and 3,743.46

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Solution

The fourth proportional to 5,867.88, 8,098.29 and 3,743.46 is: 5,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.88 : 8,098.29 = 3,743.46 : x
  2. Step 2: Convert to fraction form
    5,867.88/8,098.29 = 3,743.46/x
  3. Step 3: Cross multiply
    5,867.88x = 8,098.29 × 3,743.46
  4. Step 4: Simplify right side
    5,867.88x = 30,315,624.68
  5. Step 5: Solve for x
    x = 30,315,624.68/5,867.88
  6. Step 6: Final answer
    x = 5,166.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.