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Finding the Fourth Proportional to 3,924, 5,883.30 and 1,732.68

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Solution

The fourth proportional to 3,924, 5,883.30 and 1,732.68 is: 2,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,883.30 = 1,732.68 : x
  2. Step 2: Convert to fraction form
    3,924/5,883.30 = 1,732.68/x
  3. Step 3: Cross multiply
    3,924x = 5,883.30 × 1,732.68
  4. Step 4: Simplify right side
    3,924x = 10,193,876.24
  5. Step 5: Solve for x
    x = 10,193,876.24/3,924
  6. Step 6: Final answer
    x = 2,597.83

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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.