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Finding the Fourth Proportional to 3,409.60, 5,107.20 and 3,044.80

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Solution

The fourth proportional to 3,409.60, 5,107.20 and 3,044.80 is: 4,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 5,107.20 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    3,409.60/5,107.20 = 3,044.80/x
  3. Step 3: Cross multiply
    3,409.60x = 5,107.20 × 3,044.80
  4. Step 4: Simplify right side
    3,409.60x = 15,550,402.56
  5. Step 5: Solve for x
    x = 15,550,402.56/3,409.60
  6. Step 6: Final answer
    x = 4,560.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.