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Finding the Fourth Proportional to 3,978.16, 5,490.11 and 2,209.79

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Solution

The fourth proportional to 3,978.16, 5,490.11 and 2,209.79 is: 3,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.16 : 5,490.11 = 2,209.79 : x
  2. Step 2: Convert to fraction form
    3,978.16/5,490.11 = 2,209.79/x
  3. Step 3: Cross multiply
    3,978.16x = 5,490.11 × 2,209.79
  4. Step 4: Simplify right side
    3,978.16x = 12,131,990.18
  5. Step 5: Solve for x
    x = 12,131,990.18/3,978.16
  6. Step 6: Final answer
    x = 3,049.65

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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.