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Finding the Fourth Proportional to 4,902.46, 6,770 and 3,414.44

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Solution

The fourth proportional to 4,902.46, 6,770 and 3,414.44 is: 4,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.46 : 6,770 = 3,414.44 : x
  2. Step 2: Convert to fraction form
    4,902.46/6,770 = 3,414.44/x
  3. Step 3: Cross multiply
    4,902.46x = 6,770 × 3,414.44
  4. Step 4: Simplify right side
    4,902.46x = 23,115,758.80
  5. Step 5: Solve for x
    x = 23,115,758.80/4,902.46
  6. Step 6: Final answer
    x = 4,715.13

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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.