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Finding the Fourth Proportional to 4,449.32, 6,676.22 and 2,142.76

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Solution

The fourth proportional to 4,449.32, 6,676.22 and 2,142.76 is: 3,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.32 : 6,676.22 = 2,142.76 : x
  2. Step 2: Convert to fraction form
    4,449.32/6,676.22 = 2,142.76/x
  3. Step 3: Cross multiply
    4,449.32x = 6,676.22 × 2,142.76
  4. Step 4: Simplify right side
    4,449.32x = 14,305,537.17
  5. Step 5: Solve for x
    x = 14,305,537.17/4,449.32
  6. Step 6: Final answer
    x = 3,215.22

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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.