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Finding the Fourth Proportional to 3,474, 5,211.56 and 2,385.36

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Solution

The fourth proportional to 3,474, 5,211.56 and 2,385.36 is: 3,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 5,211.56 = 2,385.36 : x
  2. Step 2: Convert to fraction form
    3,474/5,211.56 = 2,385.36/x
  3. Step 3: Cross multiply
    3,474x = 5,211.56 × 2,385.36
  4. Step 4: Simplify right side
    3,474x = 12,431,446.76
  5. Step 5: Solve for x
    x = 12,431,446.76/3,474
  6. Step 6: Final answer
    x = 3,578.42

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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.