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Finding the Fourth Proportional to 3,682, 5,524.86 and 1,490.80

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Solution

The fourth proportional to 3,682, 5,524.86 and 1,490.80 is: 2,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 5,524.86 = 1,490.80 : x
  2. Step 2: Convert to fraction form
    3,682/5,524.86 = 1,490.80/x
  3. Step 3: Cross multiply
    3,682x = 5,524.86 × 1,490.80
  4. Step 4: Simplify right side
    3,682x = 8,236,461.29
  5. Step 5: Solve for x
    x = 8,236,461.29/3,682
  6. Step 6: Final answer
    x = 2,236.95

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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.