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Finding the Fourth Proportional to 3,854.89, 5,322.92 and 2,363.78

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Solution

The fourth proportional to 3,854.89, 5,322.92 and 2,363.78 is: 3,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.89 : 5,322.92 = 2,363.78 : x
  2. Step 2: Convert to fraction form
    3,854.89/5,322.92 = 2,363.78/x
  3. Step 3: Cross multiply
    3,854.89x = 5,322.92 × 2,363.78
  4. Step 4: Simplify right side
    3,854.89x = 12,582,213.33
  5. Step 5: Solve for x
    x = 12,582,213.33/3,854.89
  6. Step 6: Final answer
    x = 3,263.96

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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.