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Finding the Fourth Proportional to 3,982.65, 5,496.03 and 2,214.30

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Solution

The fourth proportional to 3,982.65, 5,496.03 and 2,214.30 is: 3,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.65 : 5,496.03 = 2,214.30 : x
  2. Step 2: Convert to fraction form
    3,982.65/5,496.03 = 2,214.30/x
  3. Step 3: Cross multiply
    3,982.65x = 5,496.03 × 2,214.30
  4. Step 4: Simplify right side
    3,982.65x = 12,169,859.23
  5. Step 5: Solve for x
    x = 12,169,859.23/3,982.65
  6. Step 6: Final answer
    x = 3,055.72

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1.5x scale

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.