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Finding the Fourth Proportional to 5,107.60, 7,048.92 and 2,869.84

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Solution

The fourth proportional to 5,107.60, 7,048.92 and 2,869.84 is: 3,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.60 : 7,048.92 = 2,869.84 : x
  2. Step 2: Convert to fraction form
    5,107.60/7,048.92 = 2,869.84/x
  3. Step 3: Cross multiply
    5,107.60x = 7,048.92 × 2,869.84
  4. Step 4: Simplify right side
    5,107.60x = 20,229,272.57
  5. Step 5: Solve for x
    x = 20,229,272.57/5,107.60
  6. Step 6: Final answer
    x = 3,960.62

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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.