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Finding the Fourth Proportional to 3,991.40, 5,984.70 and 2,047.40

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Solution

The fourth proportional to 3,991.40, 5,984.70 and 2,047.40 is: 3,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.40 : 5,984.70 = 2,047.40 : x
  2. Step 2: Convert to fraction form
    3,991.40/5,984.70 = 2,047.40/x
  3. Step 3: Cross multiply
    3,991.40x = 5,984.70 × 2,047.40
  4. Step 4: Simplify right side
    3,991.40x = 12,253,074.78
  5. Step 5: Solve for x
    x = 12,253,074.78/3,991.40
  6. Step 6: Final answer
    x = 3,069.87

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1.5x scale

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.