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Finding the Fourth Proportional to 3,660.70, 5,490.36 and 992.26

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Solution

The fourth proportional to 3,660.70, 5,490.36 and 992.26 is: 1,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.70 : 5,490.36 = 992.26 : x
  2. Step 2: Convert to fraction form
    3,660.70/5,490.36 = 992.26/x
  3. Step 3: Cross multiply
    3,660.70x = 5,490.36 × 992.26
  4. Step 4: Simplify right side
    3,660.70x = 5,447,864.61
  5. Step 5: Solve for x
    x = 5,447,864.61/3,660.70
  6. Step 6: Final answer
    x = 1,488.20

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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.