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Finding the Fourth Proportional to 5,857.78, 8,080.69 and 3,969.46

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Solution

The fourth proportional to 5,857.78, 8,080.69 and 3,969.46 is: 5,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.78 : 8,080.69 = 3,969.46 : x
  2. Step 2: Convert to fraction form
    5,857.78/8,080.69 = 3,969.46/x
  3. Step 3: Cross multiply
    5,857.78x = 8,080.69 × 3,969.46
  4. Step 4: Simplify right side
    5,857.78x = 32,075,975.73
  5. Step 5: Solve for x
    x = 32,075,975.73/5,857.78
  6. Step 6: Final answer
    x = 5,475.79

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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.