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Finding the Fourth Proportional to 3,800.52, 5,700.78 and 1,609.56

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Solution

The fourth proportional to 3,800.52, 5,700.78 and 1,609.56 is: 2,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.52 : 5,700.78 = 1,609.56 : x
  2. Step 2: Convert to fraction form
    3,800.52/5,700.78 = 1,609.56/x
  3. Step 3: Cross multiply
    3,800.52x = 5,700.78 × 1,609.56
  4. Step 4: Simplify right side
    3,800.52x = 9,175,747.46
  5. Step 5: Solve for x
    x = 9,175,747.46/3,800.52
  6. Step 6: Final answer
    x = 2,414.34

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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.