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Finding the Fourth Proportional to 3,633.84, 5,015.88 and 2,454.48

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Solution

The fourth proportional to 3,633.84, 5,015.88 and 2,454.48 is: 3,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,015.88 = 2,454.48 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,015.88 = 2,454.48/x
  3. Step 3: Cross multiply
    3,633.84x = 5,015.88 × 2,454.48
  4. Step 4: Simplify right side
    3,633.84x = 12,311,377.14
  5. Step 5: Solve for x
    x = 12,311,377.14/3,633.84
  6. Step 6: Final answer
    x = 3,387.98

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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.