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Finding the Fourth Proportional to 3,702.86, 5,550.20 and 2,316.85

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Solution

The fourth proportional to 3,702.86, 5,550.20 and 2,316.85 is: 3,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.86 : 5,550.20 = 2,316.85 : x
  2. Step 2: Convert to fraction form
    3,702.86/5,550.20 = 2,316.85/x
  3. Step 3: Cross multiply
    3,702.86x = 5,550.20 × 2,316.85
  4. Step 4: Simplify right side
    3,702.86x = 12,858,988.80
  5. Step 5: Solve for x
    x = 12,858,988.80/3,702.86
  6. Step 6: Final answer
    x = 3,472.71

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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.