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Finding the Fourth Proportional to 4,107.69, 5,668.92 and 2,429.10

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Solution

The fourth proportional to 4,107.69, 5,668.92 and 2,429.10 is: 3,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.69 : 5,668.92 = 2,429.10 : x
  2. Step 2: Convert to fraction form
    4,107.69/5,668.92 = 2,429.10/x
  3. Step 3: Cross multiply
    4,107.69x = 5,668.92 × 2,429.10
  4. Step 4: Simplify right side
    4,107.69x = 13,770,373.57
  5. Step 5: Solve for x
    x = 13,770,373.57/4,107.69
  6. Step 6: Final answer
    x = 3,352.34

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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.