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Finding the Fourth Proportional to 3,682.43, 5,523.65 and 2,591.68

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Solution

The fourth proportional to 3,682.43, 5,523.65 and 2,591.68 is: 3,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.43 : 5,523.65 = 2,591.68 : x
  2. Step 2: Convert to fraction form
    3,682.43/5,523.65 = 2,591.68/x
  3. Step 3: Cross multiply
    3,682.43x = 5,523.65 × 2,591.68
  4. Step 4: Simplify right side
    3,682.43x = 14,315,533.23
  5. Step 5: Solve for x
    x = 14,315,533.23/3,682.43
  6. Step 6: Final answer
    x = 3,887.52

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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.