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Finding the Fourth Proportional to 5,851.64, 8,075.14 and 3,198.99

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Solution

The fourth proportional to 5,851.64, 8,075.14 and 3,198.99 is: 4,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.64 : 8,075.14 = 3,198.99 : x
  2. Step 2: Convert to fraction form
    5,851.64/8,075.14 = 3,198.99/x
  3. Step 3: Cross multiply
    5,851.64x = 8,075.14 × 3,198.99
  4. Step 4: Simplify right side
    5,851.64x = 25,832,332.39
  5. Step 5: Solve for x
    x = 25,832,332.39/5,851.64
  6. Step 6: Final answer
    x = 4,414.54

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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.