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Finding the Fourth Proportional to 3,663.40, 5,494.53 and 1,198.21

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Solution

The fourth proportional to 3,663.40, 5,494.53 and 1,198.21 is: 1,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.40 : 5,494.53 = 1,198.21 : x
  2. Step 2: Convert to fraction form
    3,663.40/5,494.53 = 1,198.21/x
  3. Step 3: Cross multiply
    3,663.40x = 5,494.53 × 1,198.21
  4. Step 4: Simplify right side
    3,663.40x = 6,583,600.79
  5. Step 5: Solve for x
    x = 6,583,600.79/3,663.40
  6. Step 6: Final answer
    x = 1,797.13

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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.