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Finding the Fourth Proportional to 3,682.66, 5,523.99 and 2,591.90

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Solution

The fourth proportional to 3,682.66, 5,523.99 and 2,591.90 is: 3,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.66 : 5,523.99 = 2,591.90 : x
  2. Step 2: Convert to fraction form
    3,682.66/5,523.99 = 2,591.90/x
  3. Step 3: Cross multiply
    3,682.66x = 5,523.99 × 2,591.90
  4. Step 4: Simplify right side
    3,682.66x = 14,317,602.06
  5. Step 5: Solve for x
    x = 14,317,602.06/3,682.66
  6. Step 6: Final answer
    x = 3,887.84

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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.