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Finding the Fourth Proportional to 4,229.12, 6,339.02 and 2,146.20

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Solution

The fourth proportional to 4,229.12, 6,339.02 and 2,146.20 is: 3,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.12 : 6,339.02 = 2,146.20 : x
  2. Step 2: Convert to fraction form
    4,229.12/6,339.02 = 2,146.20/x
  3. Step 3: Cross multiply
    4,229.12x = 6,339.02 × 2,146.20
  4. Step 4: Simplify right side
    4,229.12x = 13,604,793.99
  5. Step 5: Solve for x
    x = 13,604,793.99/4,229.12
  6. Step 6: Final answer
    x = 3,216.94

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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.