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Finding the Fourth Proportional to 3,978.32, 5,490.11 and 2,209.95

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Solution

The fourth proportional to 3,978.32, 5,490.11 and 2,209.95 is: 3,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.32 : 5,490.11 = 2,209.95 : x
  2. Step 2: Convert to fraction form
    3,978.32/5,490.11 = 2,209.95/x
  3. Step 3: Cross multiply
    3,978.32x = 5,490.11 × 2,209.95
  4. Step 4: Simplify right side
    3,978.32x = 12,132,874.12
  5. Step 5: Solve for x
    x = 12,132,874.12/3,978.32
  6. Step 6: Final answer
    x = 3,049.75

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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.