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Finding the Fourth Proportional to 3,449.52, 4,761.72 and 2,052

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Solution

The fourth proportional to 3,449.52, 4,761.72 and 2,052 is: 2,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.52 : 4,761.72 = 2,052 : x
  2. Step 2: Convert to fraction form
    3,449.52/4,761.72 = 2,052/x
  3. Step 3: Cross multiply
    3,449.52x = 4,761.72 × 2,052
  4. Step 4: Simplify right side
    3,449.52x = 9,771,049.44
  5. Step 5: Solve for x
    x = 9,771,049.44/3,449.52
  6. Step 6: Final answer
    x = 2,832.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.