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Finding the Fourth Proportional to 5,867.99, 8,098.87 and 3,744.16

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Solution

The fourth proportional to 5,867.99, 8,098.87 and 3,744.16 is: 5,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.99 : 8,098.87 = 3,744.16 : x
  2. Step 2: Convert to fraction form
    5,867.99/8,098.87 = 3,744.16/x
  3. Step 3: Cross multiply
    5,867.99x = 8,098.87 × 3,744.16
  4. Step 4: Simplify right side
    5,867.99x = 30,323,424.60
  5. Step 5: Solve for x
    x = 30,323,424.60/5,867.99
  6. Step 6: Final answer
    x = 5,167.60

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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.