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Finding the Fourth Proportional to 5,851.47, 8,074.74 and 3,198.87

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Solution

The fourth proportional to 5,851.47, 8,074.74 and 3,198.87 is: 4,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.47 : 8,074.74 = 3,198.87 : x
  2. Step 2: Convert to fraction form
    5,851.47/8,074.74 = 3,198.87/x
  3. Step 3: Cross multiply
    5,851.47x = 8,074.74 × 3,198.87
  4. Step 4: Simplify right side
    5,851.47x = 25,830,043.54
  5. Step 5: Solve for x
    x = 25,830,043.54/5,851.47
  6. Step 6: Final answer
    x = 4,414.28

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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.