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Finding the Fourth Proportional to 3,978.46, 5,489.76 and 2,209.73

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Solution

The fourth proportional to 3,978.46, 5,489.76 and 2,209.73 is: 3,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.46 : 5,489.76 = 2,209.73 : x
  2. Step 2: Convert to fraction form
    3,978.46/5,489.76 = 2,209.73/x
  3. Step 3: Cross multiply
    3,978.46x = 5,489.76 × 2,209.73
  4. Step 4: Simplify right side
    3,978.46x = 12,130,887.36
  5. Step 5: Solve for x
    x = 12,130,887.36/3,978.46
  6. Step 6: Final answer
    x = 3,049.14

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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.