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Finding the Fourth Proportional to 5,853.86, 8,078.34 and 3,201.28

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Solution

The fourth proportional to 5,853.86, 8,078.34 and 3,201.28 is: 4,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.86 : 8,078.34 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    5,853.86/8,078.34 = 3,201.28/x
  3. Step 3: Cross multiply
    5,853.86x = 8,078.34 × 3,201.28
  4. Step 4: Simplify right side
    5,853.86x = 25,861,028.28
  5. Step 5: Solve for x
    x = 25,861,028.28/5,853.86
  6. Step 6: Final answer
    x = 4,417.77

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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.