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Finding the Fourth Proportional to 3,924.49, 5,878.87 and 2,363.62

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Solution

The fourth proportional to 3,924.49, 5,878.87 and 2,363.62 is: 3,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.49 : 5,878.87 = 2,363.62 : x
  2. Step 2: Convert to fraction form
    3,924.49/5,878.87 = 2,363.62/x
  3. Step 3: Cross multiply
    3,924.49x = 5,878.87 × 2,363.62
  4. Step 4: Simplify right side
    3,924.49x = 13,895,414.71
  5. Step 5: Solve for x
    x = 13,895,414.71/3,924.49
  6. Step 6: Final answer
    x = 3,540.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.