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Finding the Fourth Proportional to 3,981.60, 5,497.92 and 3,463.20

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Solution

The fourth proportional to 3,981.60, 5,497.92 and 3,463.20 is: 4,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.60 : 5,497.92 = 3,463.20 : x
  2. Step 2: Convert to fraction form
    3,981.60/5,497.92 = 3,463.20/x
  3. Step 3: Cross multiply
    3,981.60x = 5,497.92 × 3,463.20
  4. Step 4: Simplify right side
    3,981.60x = 19,040,396.54
  5. Step 5: Solve for x
    x = 19,040,396.54/3,981.60
  6. Step 6: Final answer
    x = 4,782.10

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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.