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Finding the Fourth Proportional to 3,981.61, 5,493.31 and 2,409.13

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Solution

The fourth proportional to 3,981.61, 5,493.31 and 2,409.13 is: 3,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.61 : 5,493.31 = 2,409.13 : x
  2. Step 2: Convert to fraction form
    3,981.61/5,493.31 = 2,409.13/x
  3. Step 3: Cross multiply
    3,981.61x = 5,493.31 × 2,409.13
  4. Step 4: Simplify right side
    3,981.61x = 13,234,097.92
  5. Step 5: Solve for x
    x = 13,234,097.92/3,981.61
  6. Step 6: Final answer
    x = 3,323.81

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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.