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Finding the Fourth Proportional to 3,702.26, 5,546.09 and 2,778.86

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Solution

The fourth proportional to 3,702.26, 5,546.09 and 2,778.86 is: 4,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.26 : 5,546.09 = 2,778.86 : x
  2. Step 2: Convert to fraction form
    3,702.26/5,546.09 = 2,778.86/x
  3. Step 3: Cross multiply
    3,702.26x = 5,546.09 × 2,778.86
  4. Step 4: Simplify right side
    3,702.26x = 15,411,766.03
  5. Step 5: Solve for x
    x = 15,411,766.03/3,702.26
  6. Step 6: Final answer
    x = 4,162.81

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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.