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Finding the Fourth Proportional to 3,952.56, 5,454.46 and 2,184.14

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Solution

The fourth proportional to 3,952.56, 5,454.46 and 2,184.14 is: 3,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.56 : 5,454.46 = 2,184.14 : x
  2. Step 2: Convert to fraction form
    3,952.56/5,454.46 = 2,184.14/x
  3. Step 3: Cross multiply
    3,952.56x = 5,454.46 × 2,184.14
  4. Step 4: Simplify right side
    3,952.56x = 11,913,304.26
  5. Step 5: Solve for x
    x = 11,913,304.26/3,952.56
  6. Step 6: Final answer
    x = 3,014.07

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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.