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Finding the Fourth Proportional to 5,851.32, 8,074.68 and 3,198.66

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Solution

The fourth proportional to 5,851.32, 8,074.68 and 3,198.66 is: 4,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.32 : 8,074.68 = 3,198.66 : x
  2. Step 2: Convert to fraction form
    5,851.32/8,074.68 = 3,198.66/x
  3. Step 3: Cross multiply
    5,851.32x = 8,074.68 × 3,198.66
  4. Step 4: Simplify right side
    5,851.32x = 25,828,155.93
  5. Step 5: Solve for x
    x = 25,828,155.93/5,851.32
  6. Step 6: Final answer
    x = 4,414.07

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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.