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Finding the Fourth Proportional to 3,801.89, 5,702.81 and 1,028.85

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Solution

The fourth proportional to 3,801.89, 5,702.81 and 1,028.85 is: 1,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.89 : 5,702.81 = 1,028.85 : x
  2. Step 2: Convert to fraction form
    3,801.89/5,702.81 = 1,028.85/x
  3. Step 3: Cross multiply
    3,801.89x = 5,702.81 × 1,028.85
  4. Step 4: Simplify right side
    3,801.89x = 5,867,313.40
  5. Step 5: Solve for x
    x = 5,867,313.40/3,801.89
  6. Step 6: Final answer
    x = 1,543.26

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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.