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Finding the Fourth Proportional to 3,469.60, 4,787.20 and 2,072

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Solution

The fourth proportional to 3,469.60, 4,787.20 and 2,072 is: 2,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.60 : 4,787.20 = 2,072 : x
  2. Step 2: Convert to fraction form
    3,469.60/4,787.20 = 2,072/x
  3. Step 3: Cross multiply
    3,469.60x = 4,787.20 × 2,072
  4. Step 4: Simplify right side
    3,469.60x = 9,919,078.40
  5. Step 5: Solve for x
    x = 9,919,078.40/3,469.60
  6. Step 6: Final answer
    x = 2,858.85

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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.