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Finding the Fourth Proportional to 3,801.90, 5,702.79 and 3,151.26

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Solution

The fourth proportional to 3,801.90, 5,702.79 and 3,151.26 is: 4,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.90 : 5,702.79 = 3,151.26 : x
  2. Step 2: Convert to fraction form
    3,801.90/5,702.79 = 3,151.26/x
  3. Step 3: Cross multiply
    3,801.90x = 5,702.79 × 3,151.26
  4. Step 4: Simplify right side
    3,801.90x = 17,970,974.02
  5. Step 5: Solve for x
    x = 17,970,974.02/3,801.90
  6. Step 6: Final answer
    x = 4,726.84

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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.