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Finding the Fourth Proportional to 5,254.94, 7,882.82 and 1,744.80

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Solution

The fourth proportional to 5,254.94, 7,882.82 and 1,744.80 is: 2,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.94 : 7,882.82 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    5,254.94/7,882.82 = 1,744.80/x
  3. Step 3: Cross multiply
    5,254.94x = 7,882.82 × 1,744.80
  4. Step 4: Simplify right side
    5,254.94x = 13,753,944.34
  5. Step 5: Solve for x
    x = 13,753,944.34/5,254.94
  6. Step 6: Final answer
    x = 2,617.34

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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.