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Finding the Fourth Proportional to 3,660.66, 5,490.74 and 1,195.43

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Solution

The fourth proportional to 3,660.66, 5,490.74 and 1,195.43 is: 1,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.66 : 5,490.74 = 1,195.43 : x
  2. Step 2: Convert to fraction form
    3,660.66/5,490.74 = 1,195.43/x
  3. Step 3: Cross multiply
    3,660.66x = 5,490.74 × 1,195.43
  4. Step 4: Simplify right side
    3,660.66x = 6,563,761.89
  5. Step 5: Solve for x
    x = 6,563,761.89/3,660.66
  6. Step 6: Final answer
    x = 1,793.05

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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.