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Finding the Fourth Proportional to 3,977.65, 5,489.28 and 2,209.42

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Solution

The fourth proportional to 3,977.65, 5,489.28 and 2,209.42 is: 3,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.65 : 5,489.28 = 2,209.42 : x
  2. Step 2: Convert to fraction form
    3,977.65/5,489.28 = 2,209.42/x
  3. Step 3: Cross multiply
    3,977.65x = 5,489.28 × 2,209.42
  4. Step 4: Simplify right side
    3,977.65x = 12,128,125.02
  5. Step 5: Solve for x
    x = 12,128,125.02/3,977.65
  6. Step 6: Final answer
    x = 3,049.07

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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.