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Finding the Fourth Proportional to 3,967.70, 5,945.29 and 3,223.68

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Solution

The fourth proportional to 3,967.70, 5,945.29 and 3,223.68 is: 4,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.70 : 5,945.29 = 3,223.68 : x
  2. Step 2: Convert to fraction form
    3,967.70/5,945.29 = 3,223.68/x
  3. Step 3: Cross multiply
    3,967.70x = 5,945.29 × 3,223.68
  4. Step 4: Simplify right side
    3,967.70x = 19,165,712.47
  5. Step 5: Solve for x
    x = 19,165,712.47/3,967.70
  6. Step 6: Final answer
    x = 4,830.43

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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.