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Finding the Fourth Proportional to 3,207.72, 4,429.42 and 2,469

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Solution

The fourth proportional to 3,207.72, 4,429.42 and 2,469 is: 3,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.72 : 4,429.42 = 2,469 : x
  2. Step 2: Convert to fraction form
    3,207.72/4,429.42 = 2,469/x
  3. Step 3: Cross multiply
    3,207.72x = 4,429.42 × 2,469
  4. Step 4: Simplify right side
    3,207.72x = 10,936,237.98
  5. Step 5: Solve for x
    x = 10,936,237.98/3,207.72
  6. Step 6: Final answer
    x = 3,409.35

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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.