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Finding the Fourth Proportional to 4,920.42, 6,791.13 and 3,238.86

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Solution

The fourth proportional to 4,920.42, 6,791.13 and 3,238.86 is: 4,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.42 : 6,791.13 = 3,238.86 : x
  2. Step 2: Convert to fraction form
    4,920.42/6,791.13 = 3,238.86/x
  3. Step 3: Cross multiply
    4,920.42x = 6,791.13 × 3,238.86
  4. Step 4: Simplify right side
    4,920.42x = 21,995,519.31
  5. Step 5: Solve for x
    x = 21,995,519.31/4,920.42
  6. Step 6: Final answer
    x = 4,470.25

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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.