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Finding the Fourth Proportional to 3,682.51, 5,523.69 and 1,491.26

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Solution

The fourth proportional to 3,682.51, 5,523.69 and 1,491.26 is: 2,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.51 : 5,523.69 = 1,491.26 : x
  2. Step 2: Convert to fraction form
    3,682.51/5,523.69 = 1,491.26/x
  3. Step 3: Cross multiply
    3,682.51x = 5,523.69 × 1,491.26
  4. Step 4: Simplify right side
    3,682.51x = 8,237,266.99
  5. Step 5: Solve for x
    x = 8,237,266.99/3,682.51
  6. Step 6: Final answer
    x = 2,236.86

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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.