Home / 3,982.74-5,496.38-2,214.32

Finding the Fourth Proportional to 3,982.74, 5,496.38 and 2,214.32

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Solution

The fourth proportional to 3,982.74, 5,496.38 and 2,214.32 is: 3,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.74 : 5,496.38 = 2,214.32 : x
  2. Step 2: Convert to fraction form
    3,982.74/5,496.38 = 2,214.32/x
  3. Step 3: Cross multiply
    3,982.74x = 5,496.38 × 2,214.32
  4. Step 4: Simplify right side
    3,982.74x = 12,170,744.16
  5. Step 5: Solve for x
    x = 12,170,744.16/3,982.74
  6. Step 6: Final answer
    x = 3,055.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.