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Finding the Fourth Proportional to 4,283.46, 6,382.84 and 3,847.40

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Solution

The fourth proportional to 4,283.46, 6,382.84 and 3,847.40 is: 5,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.46 : 6,382.84 = 3,847.40 : x
  2. Step 2: Convert to fraction form
    4,283.46/6,382.84 = 3,847.40/x
  3. Step 3: Cross multiply
    4,283.46x = 6,382.84 × 3,847.40
  4. Step 4: Simplify right side
    4,283.46x = 24,557,338.62
  5. Step 5: Solve for x
    x = 24,557,338.62/4,283.46
  6. Step 6: Final answer
    x = 5,733.06

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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.