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Finding the Fourth Proportional to 3,468.89, 4,787.76 and 2,211.43

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Solution

The fourth proportional to 3,468.89, 4,787.76 and 2,211.43 is: 3,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.89 : 4,787.76 = 2,211.43 : x
  2. Step 2: Convert to fraction form
    3,468.89/4,787.76 = 2,211.43/x
  3. Step 3: Cross multiply
    3,468.89x = 4,787.76 × 2,211.43
  4. Step 4: Simplify right side
    3,468.89x = 10,587,796.10
  5. Step 5: Solve for x
    x = 10,587,796.10/3,468.89
  6. Step 6: Final answer
    x = 3,052.21

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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.