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Finding the Fourth Proportional to 3,772.52, 5,205.60 and 2,375

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Solution

The fourth proportional to 3,772.52, 5,205.60 and 2,375 is: 3,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.52 : 5,205.60 = 2,375 : x
  2. Step 2: Convert to fraction form
    3,772.52/5,205.60 = 2,375/x
  3. Step 3: Cross multiply
    3,772.52x = 5,205.60 × 2,375
  4. Step 4: Simplify right side
    3,772.52x = 12,363,300
  5. Step 5: Solve for x
    x = 12,363,300/3,772.52
  6. Step 6: Final answer
    x = 3,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.