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Finding the Fourth Proportional to 5,805.20, 8,706.49 and 2,843.64

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Solution

The fourth proportional to 5,805.20, 8,706.49 and 2,843.64 is: 4,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.20 : 8,706.49 = 2,843.64 : x
  2. Step 2: Convert to fraction form
    5,805.20/8,706.49 = 2,843.64/x
  3. Step 3: Cross multiply
    5,805.20x = 8,706.49 × 2,843.64
  4. Step 4: Simplify right side
    5,805.20x = 24,758,116.11
  5. Step 5: Solve for x
    x = 24,758,116.11/5,805.20
  6. Step 6: Final answer
    x = 4,264.82

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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.