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Finding the Fourth Proportional to 3,791.71, 5,230.01 and 3,293.49

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Solution

The fourth proportional to 3,791.71, 5,230.01 and 3,293.49 is: 4,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.71 : 5,230.01 = 3,293.49 : x
  2. Step 2: Convert to fraction form
    3,791.71/5,230.01 = 3,293.49/x
  3. Step 3: Cross multiply
    3,791.71x = 5,230.01 × 3,293.49
  4. Step 4: Simplify right side
    3,791.71x = 17,224,946.20
  5. Step 5: Solve for x
    x = 17,224,946.20/3,791.71
  6. Step 6: Final answer
    x = 4,542.79

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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.