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Finding the Fourth Proportional to 5,853.80, 8,078.16 and 3,201.14

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Solution

The fourth proportional to 5,853.80, 8,078.16 and 3,201.14 is: 4,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.80 : 8,078.16 = 3,201.14 : x
  2. Step 2: Convert to fraction form
    5,853.80/8,078.16 = 3,201.14/x
  3. Step 3: Cross multiply
    5,853.80x = 8,078.16 × 3,201.14
  4. Step 4: Simplify right side
    5,853.80x = 25,859,321.10
  5. Step 5: Solve for x
    x = 25,859,321.10/5,853.80
  6. Step 6: Final answer
    x = 4,417.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.