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Finding the Fourth Proportional to 3,144.87, 4,717.22 and 1,064.85

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Solution

The fourth proportional to 3,144.87, 4,717.22 and 1,064.85 is: 1,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.87 : 4,717.22 = 1,064.85 : x
  2. Step 2: Convert to fraction form
    3,144.87/4,717.22 = 1,064.85/x
  3. Step 3: Cross multiply
    3,144.87x = 4,717.22 × 1,064.85
  4. Step 4: Simplify right side
    3,144.87x = 5,023,126.39
  5. Step 5: Solve for x
    x = 5,023,126.39/3,144.87
  6. Step 6: Final answer
    x = 1,597.24

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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.