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Finding the Fourth Proportional to 5,294.46, 7,944.25 and 3,744.43

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Solution

The fourth proportional to 5,294.46, 7,944.25 and 3,744.43 is: 5,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.46 : 7,944.25 = 3,744.43 : x
  2. Step 2: Convert to fraction form
    5,294.46/7,944.25 = 3,744.43/x
  3. Step 3: Cross multiply
    5,294.46x = 7,944.25 × 3,744.43
  4. Step 4: Simplify right side
    5,294.46x = 29,746,638.95
  5. Step 5: Solve for x
    x = 29,746,638.95/5,294.46
  6. Step 6: Final answer
    x = 5,618.45

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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.