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Finding the Fourth Proportional to 5,853.72, 8,078.01 and 3,201.11

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Solution

The fourth proportional to 5,853.72, 8,078.01 and 3,201.11 is: 4,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.72 : 8,078.01 = 3,201.11 : x
  2. Step 2: Convert to fraction form
    5,853.72/8,078.01 = 3,201.11/x
  3. Step 3: Cross multiply
    5,853.72x = 8,078.01 × 3,201.11
  4. Step 4: Simplify right side
    5,853.72x = 25,858,558.20
  5. Step 5: Solve for x
    x = 25,858,558.20/5,853.72
  6. Step 6: Final answer
    x = 4,417.46

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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.