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Finding the Fourth Proportional to 3,851.64, 5,777.84 and 1,772.24

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Solution

The fourth proportional to 3,851.64, 5,777.84 and 1,772.24 is: 2,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.64 : 5,777.84 = 1,772.24 : x
  2. Step 2: Convert to fraction form
    3,851.64/5,777.84 = 1,772.24/x
  3. Step 3: Cross multiply
    3,851.64x = 5,777.84 × 1,772.24
  4. Step 4: Simplify right side
    3,851.64x = 10,239,694.70
  5. Step 5: Solve for x
    x = 10,239,694.70/3,851.64
  6. Step 6: Final answer
    x = 2,658.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.