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Finding the Fourth Proportional to 5,725.88, 7,902.78 and 3,369.68

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Solution

The fourth proportional to 5,725.88, 7,902.78 and 3,369.68 is: 4,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.88 : 7,902.78 = 3,369.68 : x
  2. Step 2: Convert to fraction form
    5,725.88/7,902.78 = 3,369.68/x
  3. Step 3: Cross multiply
    5,725.88x = 7,902.78 × 3,369.68
  4. Step 4: Simplify right side
    5,725.88x = 26,629,839.71
  5. Step 5: Solve for x
    x = 26,629,839.71/5,725.88
  6. Step 6: Final answer
    x = 4,650.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.