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Finding the Fourth Proportional to 3,976.95, 5,489.01 and 2,298.12

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Solution

The fourth proportional to 3,976.95, 5,489.01 and 2,298.12 is: 3,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.95 : 5,489.01 = 2,298.12 : x
  2. Step 2: Convert to fraction form
    3,976.95/5,489.01 = 2,298.12/x
  3. Step 3: Cross multiply
    3,976.95x = 5,489.01 × 2,298.12
  4. Step 4: Simplify right side
    3,976.95x = 12,614,403.66
  5. Step 5: Solve for x
    x = 12,614,403.66/3,976.95
  6. Step 6: Final answer
    x = 3,171.88

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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.