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Finding the Fourth Proportional to 3,792.71, 5,689.02 and 1,195.63

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Solution

The fourth proportional to 3,792.71, 5,689.02 and 1,195.63 is: 1,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.71 : 5,689.02 = 1,195.63 : x
  2. Step 2: Convert to fraction form
    3,792.71/5,689.02 = 1,195.63/x
  3. Step 3: Cross multiply
    3,792.71x = 5,689.02 × 1,195.63
  4. Step 4: Simplify right side
    3,792.71x = 6,801,934.54
  5. Step 5: Solve for x
    x = 6,801,934.54/3,792.71
  6. Step 6: Final answer
    x = 1,793.42

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Double scale
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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.