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Finding the Fourth Proportional to 5,706.95, 8,560.25 and 3,382.88

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Solution

The fourth proportional to 5,706.95, 8,560.25 and 3,382.88 is: 5,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.95 : 8,560.25 = 3,382.88 : x
  2. Step 2: Convert to fraction form
    5,706.95/8,560.25 = 3,382.88/x
  3. Step 3: Cross multiply
    5,706.95x = 8,560.25 × 3,382.88
  4. Step 4: Simplify right side
    5,706.95x = 28,958,281.61
  5. Step 5: Solve for x
    x = 28,958,281.61/5,706.95
  6. Step 6: Final answer
    x = 5,074.21

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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.