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Finding the Fourth Proportional to 4,229.46, 6,342.18 and 1,266.76

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Solution

The fourth proportional to 4,229.46, 6,342.18 and 1,266.76 is: 1,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.46 : 6,342.18 = 1,266.76 : x
  2. Step 2: Convert to fraction form
    4,229.46/6,342.18 = 1,266.76/x
  3. Step 3: Cross multiply
    4,229.46x = 6,342.18 × 1,266.76
  4. Step 4: Simplify right side
    4,229.46x = 8,034,023.10
  5. Step 5: Solve for x
    x = 8,034,023.10/4,229.46
  6. Step 6: Final answer
    x = 1,899.54

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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.