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Finding the Fourth Proportional to 5,706.18, 8,557.83 and 2,194.83

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Solution

The fourth proportional to 5,706.18, 8,557.83 and 2,194.83 is: 3,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.18 : 8,557.83 = 2,194.83 : x
  2. Step 2: Convert to fraction form
    5,706.18/8,557.83 = 2,194.83/x
  3. Step 3: Cross multiply
    5,706.18x = 8,557.83 × 2,194.83
  4. Step 4: Simplify right side
    5,706.18x = 18,782,982.02
  5. Step 5: Solve for x
    x = 18,782,982.02/5,706.18
  6. Step 6: Final answer
    x = 3,291.69

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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.