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Finding the Fourth Proportional to 3,987.94, 5,982.15 and 1,214.81

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Solution

The fourth proportional to 3,987.94, 5,982.15 and 1,214.81 is: 1,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.94 : 5,982.15 = 1,214.81 : x
  2. Step 2: Convert to fraction form
    3,987.94/5,982.15 = 1,214.81/x
  3. Step 3: Cross multiply
    3,987.94x = 5,982.15 × 1,214.81
  4. Step 4: Simplify right side
    3,987.94x = 7,267,169.57
  5. Step 5: Solve for x
    x = 7,267,169.57/3,987.94
  6. Step 6: Final answer
    x = 1,822.29

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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.