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Finding the Fourth Proportional to 4,249.89, 6,377.27 and 1,652.63

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Solution

The fourth proportional to 4,249.89, 6,377.27 and 1,652.63 is: 2,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.89 : 6,377.27 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    4,249.89/6,377.27 = 1,652.63/x
  3. Step 3: Cross multiply
    4,249.89x = 6,377.27 × 1,652.63
  4. Step 4: Simplify right side
    4,249.89x = 10,539,227.57
  5. Step 5: Solve for x
    x = 10,539,227.57/4,249.89
  6. Step 6: Final answer
    x = 2,479.88

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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.