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Finding the Fourth Proportional to 3,797.64, 5,700.11 and 1,851.21

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Solution

The fourth proportional to 3,797.64, 5,700.11 and 1,851.21 is: 2,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.64 : 5,700.11 = 1,851.21 : x
  2. Step 2: Convert to fraction form
    3,797.64/5,700.11 = 1,851.21/x
  3. Step 3: Cross multiply
    3,797.64x = 5,700.11 × 1,851.21
  4. Step 4: Simplify right side
    3,797.64x = 10,552,100.63
  5. Step 5: Solve for x
    x = 10,552,100.63/3,797.64
  6. Step 6: Final answer
    x = 2,778.59

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Why These Related Problems?

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