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Finding the Fourth Proportional to 5,703.57, 8,555.85 and 2,194.43

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Solution

The fourth proportional to 5,703.57, 8,555.85 and 2,194.43 is: 3,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.57 : 8,555.85 = 2,194.43 : x
  2. Step 2: Convert to fraction form
    5,703.57/8,555.85 = 2,194.43/x
  3. Step 3: Cross multiply
    5,703.57x = 8,555.85 × 2,194.43
  4. Step 4: Simplify right side
    5,703.57x = 18,775,171.14
  5. Step 5: Solve for x
    x = 18,775,171.14/5,703.57
  6. Step 6: Final answer
    x = 3,291.83

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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.