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Finding the Fourth Proportional to 3,682.25, 5,081.84 and 2,266.30

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Solution

The fourth proportional to 3,682.25, 5,081.84 and 2,266.30 is: 3,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.25 : 5,081.84 = 2,266.30 : x
  2. Step 2: Convert to fraction form
    3,682.25/5,081.84 = 2,266.30/x
  3. Step 3: Cross multiply
    3,682.25x = 5,081.84 × 2,266.30
  4. Step 4: Simplify right side
    3,682.25x = 11,516,973.99
  5. Step 5: Solve for x
    x = 11,516,973.99/3,682.25
  6. Step 6: Final answer
    x = 3,127.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.