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Finding the Fourth Proportional to 3,694.86, 5,542.47 and 3,542.22

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Solution

The fourth proportional to 3,694.86, 5,542.47 and 3,542.22 is: 5,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.86 : 5,542.47 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    3,694.86/5,542.47 = 3,542.22/x
  3. Step 3: Cross multiply
    3,694.86x = 5,542.47 × 3,542.22
  4. Step 4: Simplify right side
    3,694.86x = 19,632,648.08
  5. Step 5: Solve for x
    x = 19,632,648.08/3,694.86
  6. Step 6: Final answer
    x = 5,313.50

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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.