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Finding the Fourth Proportional to 5,412.72, 8,114.12 and 1,949.12

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Solution

The fourth proportional to 5,412.72, 8,114.12 and 1,949.12 is: 2,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.72 : 8,114.12 = 1,949.12 : x
  2. Step 2: Convert to fraction form
    5,412.72/8,114.12 = 1,949.12/x
  3. Step 3: Cross multiply
    5,412.72x = 8,114.12 × 1,949.12
  4. Step 4: Simplify right side
    5,412.72x = 15,815,393.57
  5. Step 5: Solve for x
    x = 15,815,393.57/5,412.72
  6. Step 6: Final answer
    x = 2,921.89

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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.