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Finding the Fourth Proportional to 3,682.77, 5,524.23 and 1,491.52

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Solution

The fourth proportional to 3,682.77, 5,524.23 and 1,491.52 is: 2,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.77 : 5,524.23 = 1,491.52 : x
  2. Step 2: Convert to fraction form
    3,682.77/5,524.23 = 1,491.52/x
  3. Step 3: Cross multiply
    3,682.77x = 5,524.23 × 1,491.52
  4. Step 4: Simplify right side
    3,682.77x = 8,239,499.53
  5. Step 5: Solve for x
    x = 8,239,499.53/3,682.77
  6. Step 6: Final answer
    x = 2,237.31

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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.