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Finding the Fourth Proportional to 3,278.78, 4,915.02 and 2,105.52

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Solution

The fourth proportional to 3,278.78, 4,915.02 and 2,105.52 is: 3,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.78 : 4,915.02 = 2,105.52 : x
  2. Step 2: Convert to fraction form
    3,278.78/4,915.02 = 2,105.52/x
  3. Step 3: Cross multiply
    3,278.78x = 4,915.02 × 2,105.52
  4. Step 4: Simplify right side
    3,278.78x = 10,348,672.91
  5. Step 5: Solve for x
    x = 10,348,672.91/3,278.78
  6. Step 6: Final answer
    x = 3,156.26

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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.