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Finding the Fourth Proportional to 3,694.98, 5,542.43 and 921.65

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Solution

The fourth proportional to 3,694.98, 5,542.43 and 921.65 is: 1,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.98 : 5,542.43 = 921.65 : x
  2. Step 2: Convert to fraction form
    3,694.98/5,542.43 = 921.65/x
  3. Step 3: Cross multiply
    3,694.98x = 5,542.43 × 921.65
  4. Step 4: Simplify right side
    3,694.98x = 5,108,148.29
  5. Step 5: Solve for x
    x = 5,108,148.29/3,694.98
  6. Step 6: Final answer
    x = 1,382.45

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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.