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Finding the Fourth Proportional to 4,095.52, 5,649.70 and 2,769.70

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Solution

The fourth proportional to 4,095.52, 5,649.70 and 2,769.70 is: 3,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.52 : 5,649.70 = 2,769.70 : x
  2. Step 2: Convert to fraction form
    4,095.52/5,649.70 = 2,769.70/x
  3. Step 3: Cross multiply
    4,095.52x = 5,649.70 × 2,769.70
  4. Step 4: Simplify right side
    4,095.52x = 15,647,974.09
  5. Step 5: Solve for x
    x = 15,647,974.09/4,095.52
  6. Step 6: Final answer
    x = 3,820.75

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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.