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Finding the Fourth Proportional to 3,442.66, 5,166.05 and 1,251.56

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Solution

The fourth proportional to 3,442.66, 5,166.05 and 1,251.56 is: 1,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.66 : 5,166.05 = 1,251.56 : x
  2. Step 2: Convert to fraction form
    3,442.66/5,166.05 = 1,251.56/x
  3. Step 3: Cross multiply
    3,442.66x = 5,166.05 × 1,251.56
  4. Step 4: Simplify right side
    3,442.66x = 6,465,628.20
  5. Step 5: Solve for x
    x = 6,465,628.20/3,442.66
  6. Step 6: Final answer
    x = 1,878.09

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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.