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Finding the Fourth Proportional to 5,854.16, 8,078.72 and 3,201.54

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Solution

The fourth proportional to 5,854.16, 8,078.72 and 3,201.54 is: 4,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.16 : 8,078.72 = 3,201.54 : x
  2. Step 2: Convert to fraction form
    5,854.16/8,078.72 = 3,201.54/x
  3. Step 3: Cross multiply
    5,854.16x = 8,078.72 × 3,201.54
  4. Step 4: Simplify right side
    5,854.16x = 25,864,329.22
  5. Step 5: Solve for x
    x = 25,864,329.22/5,854.16
  6. Step 6: Final answer
    x = 4,418.11

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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.