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Finding the Fourth Proportional to 4,147.94, 5,729.61 and 3,098.18

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Solution

The fourth proportional to 4,147.94, 5,729.61 and 3,098.18 is: 4,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.94 : 5,729.61 = 3,098.18 : x
  2. Step 2: Convert to fraction form
    4,147.94/5,729.61 = 3,098.18/x
  3. Step 3: Cross multiply
    4,147.94x = 5,729.61 × 3,098.18
  4. Step 4: Simplify right side
    4,147.94x = 17,751,363.11
  5. Step 5: Solve for x
    x = 17,751,363.11/4,147.94
  6. Step 6: Final answer
    x = 4,279.56

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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.