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Finding the Fourth Proportional to 3,801.39, 5,702.09 and 1,204.13

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Solution

The fourth proportional to 3,801.39, 5,702.09 and 1,204.13 is: 1,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.39 : 5,702.09 = 1,204.13 : x
  2. Step 2: Convert to fraction form
    3,801.39/5,702.09 = 1,204.13/x
  3. Step 3: Cross multiply
    3,801.39x = 5,702.09 × 1,204.13
  4. Step 4: Simplify right side
    3,801.39x = 6,866,023.10
  5. Step 5: Solve for x
    x = 6,866,023.10/3,801.39
  6. Step 6: Final answer
    x = 1,806.19

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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.