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Finding the Fourth Proportional to 4,147.39, 5,724.60 and 2,469.97

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Solution

The fourth proportional to 4,147.39, 5,724.60 and 2,469.97 is: 3,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.39 : 5,724.60 = 2,469.97 : x
  2. Step 2: Convert to fraction form
    4,147.39/5,724.60 = 2,469.97/x
  3. Step 3: Cross multiply
    4,147.39x = 5,724.60 × 2,469.97
  4. Step 4: Simplify right side
    4,147.39x = 14,139,590.26
  5. Step 5: Solve for x
    x = 14,139,590.26/4,147.39
  6. Step 6: Final answer
    x = 3,409.27

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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.