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Finding the Fourth Proportional to 3,801.25, 5,702.89 and 1,204.19

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Solution

The fourth proportional to 3,801.25, 5,702.89 and 1,204.19 is: 1,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.25 : 5,702.89 = 1,204.19 : x
  2. Step 2: Convert to fraction form
    3,801.25/5,702.89 = 1,204.19/x
  3. Step 3: Cross multiply
    3,801.25x = 5,702.89 × 1,204.19
  4. Step 4: Simplify right side
    3,801.25x = 6,867,363.11
  5. Step 5: Solve for x
    x = 6,867,363.11/3,801.25
  6. Step 6: Final answer
    x = 1,806.61

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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.