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Finding the Fourth Proportional to 5,180.57, 7,770.86 and 2,260.92

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Solution

The fourth proportional to 5,180.57, 7,770.86 and 2,260.92 is: 3,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.57 : 7,770.86 = 2,260.92 : x
  2. Step 2: Convert to fraction form
    5,180.57/7,770.86 = 2,260.92/x
  3. Step 3: Cross multiply
    5,180.57x = 7,770.86 × 2,260.92
  4. Step 4: Simplify right side
    5,180.57x = 17,569,292.79
  5. Step 5: Solve for x
    x = 17,569,292.79/5,180.57
  6. Step 6: Final answer
    x = 3,391.38

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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.