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Finding the Fourth Proportional to 3,249.44, 4,488.16 and 2,363.84

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Solution

The fourth proportional to 3,249.44, 4,488.16 and 2,363.84 is: 3,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.44 : 4,488.16 = 2,363.84 : x
  2. Step 2: Convert to fraction form
    3,249.44/4,488.16 = 2,363.84/x
  3. Step 3: Cross multiply
    3,249.44x = 4,488.16 × 2,363.84
  4. Step 4: Simplify right side
    3,249.44x = 10,609,292.13
  5. Step 5: Solve for x
    x = 10,609,292.13/3,249.44
  6. Step 6: Final answer
    x = 3,264.96

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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.