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Finding the Fourth Proportional to 5,866.31, 8,098.16 and 3,744.72

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Solution

The fourth proportional to 5,866.31, 8,098.16 and 3,744.72 is: 5,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.31 : 8,098.16 = 3,744.72 : x
  2. Step 2: Convert to fraction form
    5,866.31/8,098.16 = 3,744.72/x
  3. Step 3: Cross multiply
    5,866.31x = 8,098.16 × 3,744.72
  4. Step 4: Simplify right side
    5,866.31x = 30,325,322.99
  5. Step 5: Solve for x
    x = 30,325,322.99/5,866.31
  6. Step 6: Final answer
    x = 5,169.41

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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.