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Finding the Fourth Proportional to 3,682.80, 5,081.12 and 2,265

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Solution

The fourth proportional to 3,682.80, 5,081.12 and 2,265 is: 3,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.80 : 5,081.12 = 2,265 : x
  2. Step 2: Convert to fraction form
    3,682.80/5,081.12 = 2,265/x
  3. Step 3: Cross multiply
    3,682.80x = 5,081.12 × 2,265
  4. Step 4: Simplify right side
    3,682.80x = 11,508,736.80
  5. Step 5: Solve for x
    x = 11,508,736.80/3,682.80
  6. Step 6: Final answer
    x = 3,125.00

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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.