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Finding the Fourth Proportional to 3,967.24, 5,948.91 and 1,626.61

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Solution

The fourth proportional to 3,967.24, 5,948.91 and 1,626.61 is: 2,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.24 : 5,948.91 = 1,626.61 : x
  2. Step 2: Convert to fraction form
    3,967.24/5,948.91 = 1,626.61/x
  3. Step 3: Cross multiply
    3,967.24x = 5,948.91 × 1,626.61
  4. Step 4: Simplify right side
    3,967.24x = 9,676,556.50
  5. Step 5: Solve for x
    x = 9,676,556.50/3,967.24
  6. Step 6: Final answer
    x = 2,439.12

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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.