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Finding the Fourth Proportional to 4,238.46, 6,326.84 and 3,891.78

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Solution

The fourth proportional to 4,238.46, 6,326.84 and 3,891.78 is: 5,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.46 : 6,326.84 = 3,891.78 : x
  2. Step 2: Convert to fraction form
    4,238.46/6,326.84 = 3,891.78/x
  3. Step 3: Cross multiply
    4,238.46x = 6,326.84 × 3,891.78
  4. Step 4: Simplify right side
    4,238.46x = 24,622,679.10
  5. Step 5: Solve for x
    x = 24,622,679.10/4,238.46
  6. Step 6: Final answer
    x = 5,809.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.