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Finding the Fourth Proportional to 5,424.88, 8,138.12 and 1,962.94

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Solution

The fourth proportional to 5,424.88, 8,138.12 and 1,962.94 is: 2,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.88 : 8,138.12 = 1,962.94 : x
  2. Step 2: Convert to fraction form
    5,424.88/8,138.12 = 1,962.94/x
  3. Step 3: Cross multiply
    5,424.88x = 8,138.12 × 1,962.94
  4. Step 4: Simplify right side
    5,424.88x = 15,974,641.27
  5. Step 5: Solve for x
    x = 15,974,641.27/5,424.88
  6. Step 6: Final answer
    x = 2,944.70

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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.