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Finding the Fourth Proportional to 3,639.92, 5,023.20 and 2,046.80

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Solution

The fourth proportional to 3,639.92, 5,023.20 and 2,046.80 is: 2,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.92 : 5,023.20 = 2,046.80 : x
  2. Step 2: Convert to fraction form
    3,639.92/5,023.20 = 2,046.80/x
  3. Step 3: Cross multiply
    3,639.92x = 5,023.20 × 2,046.80
  4. Step 4: Simplify right side
    3,639.92x = 10,281,485.76
  5. Step 5: Solve for x
    x = 10,281,485.76/3,639.92
  6. Step 6: Final answer
    x = 2,824.65

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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.