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Finding the Fourth Proportional to 3,970.30, 5,951.24 and 1,469.87

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Solution

The fourth proportional to 3,970.30, 5,951.24 and 1,469.87 is: 2,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.30 : 5,951.24 = 1,469.87 : x
  2. Step 2: Convert to fraction form
    3,970.30/5,951.24 = 1,469.87/x
  3. Step 3: Cross multiply
    3,970.30x = 5,951.24 × 1,469.87
  4. Step 4: Simplify right side
    3,970.30x = 8,747,567.69
  5. Step 5: Solve for x
    x = 8,747,567.69/3,970.30
  6. Step 6: Final answer
    x = 2,203.25

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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.