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Finding the Fourth Proportional to 3,847.02, 5,772.76 and 1,625.70

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Solution

The fourth proportional to 3,847.02, 5,772.76 and 1,625.70 is: 2,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.02 : 5,772.76 = 1,625.70 : x
  2. Step 2: Convert to fraction form
    3,847.02/5,772.76 = 1,625.70/x
  3. Step 3: Cross multiply
    3,847.02x = 5,772.76 × 1,625.70
  4. Step 4: Simplify right side
    3,847.02x = 9,384,775.93
  5. Step 5: Solve for x
    x = 9,384,775.93/3,847.02
  6. Step 6: Final answer
    x = 2,439.49

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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.