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Finding the Fourth Proportional to 5,853.72, 8,078.08 and 3,201.15

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Solution

The fourth proportional to 5,853.72, 8,078.08 and 3,201.15 is: 4,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.72 : 8,078.08 = 3,201.15 : x
  2. Step 2: Convert to fraction form
    5,853.72/8,078.08 = 3,201.15/x
  3. Step 3: Cross multiply
    5,853.72x = 8,078.08 × 3,201.15
  4. Step 4: Simplify right side
    5,853.72x = 25,859,105.93
  5. Step 5: Solve for x
    x = 25,859,105.93/5,853.72
  6. Step 6: Final answer
    x = 4,417.55

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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.