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Finding the Fourth Proportional to 3,801.65, 5,702.26 and 1,028.11

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Solution

The fourth proportional to 3,801.65, 5,702.26 and 1,028.11 is: 1,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.65 : 5,702.26 = 1,028.11 : x
  2. Step 2: Convert to fraction form
    3,801.65/5,702.26 = 1,028.11/x
  3. Step 3: Cross multiply
    3,801.65x = 5,702.26 × 1,028.11
  4. Step 4: Simplify right side
    3,801.65x = 5,862,550.53
  5. Step 5: Solve for x
    x = 5,862,550.53/3,801.65
  6. Step 6: Final answer
    x = 1,542.11

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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.