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Finding the Fourth Proportional to 3,414.78, 5,122.35 and 949.59

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Solution

The fourth proportional to 3,414.78, 5,122.35 and 949.59 is: 1,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 5,122.35 = 949.59 : x
  2. Step 2: Convert to fraction form
    3,414.78/5,122.35 = 949.59/x
  3. Step 3: Cross multiply
    3,414.78x = 5,122.35 × 949.59
  4. Step 4: Simplify right side
    3,414.78x = 4,864,132.34
  5. Step 5: Solve for x
    x = 4,864,132.34/3,414.78
  6. Step 6: Final answer
    x = 1,424.44

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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.