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Finding the Fourth Proportional to 3,660.82, 5,490.56 and 992.46

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Solution

The fourth proportional to 3,660.82, 5,490.56 and 992.46 is: 1,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.82 : 5,490.56 = 992.46 : x
  2. Step 2: Convert to fraction form
    3,660.82/5,490.56 = 992.46/x
  3. Step 3: Cross multiply
    3,660.82x = 5,490.56 × 992.46
  4. Step 4: Simplify right side
    3,660.82x = 5,449,161.18
  5. Step 5: Solve for x
    x = 5,449,161.18/3,660.82
  6. Step 6: Final answer
    x = 1,488.51

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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.