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Finding the Fourth Proportional to 5,706.41, 8,557.98 and 2,196.17

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Solution

The fourth proportional to 5,706.41, 8,557.98 and 2,196.17 is: 3,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.41 : 8,557.98 = 2,196.17 : x
  2. Step 2: Convert to fraction form
    5,706.41/8,557.98 = 2,196.17/x
  3. Step 3: Cross multiply
    5,706.41x = 8,557.98 × 2,196.17
  4. Step 4: Simplify right side
    5,706.41x = 18,794,778.94
  5. Step 5: Solve for x
    x = 18,794,778.94/5,706.41
  6. Step 6: Final answer
    x = 3,293.63

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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.