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Finding the Fourth Proportional to 3,987.71, 5,982.43 and 1,214.31

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Solution

The fourth proportional to 3,987.71, 5,982.43 and 1,214.31 is: 1,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.71 : 5,982.43 = 1,214.31 : x
  2. Step 2: Convert to fraction form
    3,987.71/5,982.43 = 1,214.31/x
  3. Step 3: Cross multiply
    3,987.71x = 5,982.43 × 1,214.31
  4. Step 4: Simplify right side
    3,987.71x = 7,264,532.84
  5. Step 5: Solve for x
    x = 7,264,532.84/3,987.71
  6. Step 6: Final answer
    x = 1,821.73

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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.