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Finding the Fourth Proportional to 3,801.83, 5,702.75 and 1,951.92

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Solution

The fourth proportional to 3,801.83, 5,702.75 and 1,951.92 is: 2,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.83 : 5,702.75 = 1,951.92 : x
  2. Step 2: Convert to fraction form
    3,801.83/5,702.75 = 1,951.92/x
  3. Step 3: Cross multiply
    3,801.83x = 5,702.75 × 1,951.92
  4. Step 4: Simplify right side
    3,801.83x = 11,131,311.78
  5. Step 5: Solve for x
    x = 11,131,311.78/3,801.83
  6. Step 6: Final answer
    x = 2,927.88

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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.