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Finding the Fourth Proportional to 3,988.68, 5,982.90 and 1,215.23

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Solution

The fourth proportional to 3,988.68, 5,982.90 and 1,215.23 is: 1,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.68 : 5,982.90 = 1,215.23 : x
  2. Step 2: Convert to fraction form
    3,988.68/5,982.90 = 1,215.23/x
  3. Step 3: Cross multiply
    3,988.68x = 5,982.90 × 1,215.23
  4. Step 4: Simplify right side
    3,988.68x = 7,270,569.65
  5. Step 5: Solve for x
    x = 7,270,569.65/3,988.68
  6. Step 6: Final answer
    x = 1,822.80

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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.