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Finding the Fourth Proportional to 5,767.42, 7,959.07 and 3,249.57

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Solution

The fourth proportional to 5,767.42, 7,959.07 and 3,249.57 is: 4,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.42 : 7,959.07 = 3,249.57 : x
  2. Step 2: Convert to fraction form
    5,767.42/7,959.07 = 3,249.57/x
  3. Step 3: Cross multiply
    5,767.42x = 7,959.07 × 3,249.57
  4. Step 4: Simplify right side
    5,767.42x = 25,863,525.96
  5. Step 5: Solve for x
    x = 25,863,525.96/5,767.42
  6. Step 6: Final answer
    x = 4,484.42

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