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Finding the Fourth Proportional to 3,850.74, 5,772.87 and 3,118.50

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Solution

The fourth proportional to 3,850.74, 5,772.87 and 3,118.50 is: 4,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.74 : 5,772.87 = 3,118.50 : x
  2. Step 2: Convert to fraction form
    3,850.74/5,772.87 = 3,118.50/x
  3. Step 3: Cross multiply
    3,850.74x = 5,772.87 × 3,118.50
  4. Step 4: Simplify right side
    3,850.74x = 18,002,695.10
  5. Step 5: Solve for x
    x = 18,002,695.10/3,850.74
  6. Step 6: Final answer
    x = 4,675.13

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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.