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Finding the Fourth Proportional to 3,682.53, 5,524.61 and 2,041.47

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Solution

The fourth proportional to 3,682.53, 5,524.61 and 2,041.47 is: 3,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.53 : 5,524.61 = 2,041.47 : x
  2. Step 2: Convert to fraction form
    3,682.53/5,524.61 = 2,041.47/x
  3. Step 3: Cross multiply
    3,682.53x = 5,524.61 × 2,041.47
  4. Step 4: Simplify right side
    3,682.53x = 11,278,315.37
  5. Step 5: Solve for x
    x = 11,278,315.37/3,682.53
  6. Step 6: Final answer
    x = 3,062.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.