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Finding the Fourth Proportional to 3,952.74, 5,454.64 and 2,184.31

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Solution

The fourth proportional to 3,952.74, 5,454.64 and 2,184.31 is: 3,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.74 : 5,454.64 = 2,184.31 : x
  2. Step 2: Convert to fraction form
    3,952.74/5,454.64 = 2,184.31/x
  3. Step 3: Cross multiply
    3,952.74x = 5,454.64 × 2,184.31
  4. Step 4: Simplify right side
    3,952.74x = 11,914,624.70
  5. Step 5: Solve for x
    x = 11,914,624.70/3,952.74
  6. Step 6: Final answer
    x = 3,014.27

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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.