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Finding the Fourth Proportional to 3,952.59, 5,454.25 and 2,184.18

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Solution

The fourth proportional to 3,952.59, 5,454.25 and 2,184.18 is: 3,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.59 : 5,454.25 = 2,184.18 : x
  2. Step 2: Convert to fraction form
    3,952.59/5,454.25 = 2,184.18/x
  3. Step 3: Cross multiply
    3,952.59x = 5,454.25 × 2,184.18
  4. Step 4: Simplify right side
    3,952.59x = 11,913,063.77
  5. Step 5: Solve for x
    x = 11,913,063.77/3,952.59
  6. Step 6: Final answer
    x = 3,013.99

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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.