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Finding the Fourth Proportional to 3,680.45, 5,080.49 and 2,264.71

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Solution

The fourth proportional to 3,680.45, 5,080.49 and 2,264.71 is: 3,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.45 : 5,080.49 = 2,264.71 : x
  2. Step 2: Convert to fraction form
    3,680.45/5,080.49 = 2,264.71/x
  3. Step 3: Cross multiply
    3,680.45x = 5,080.49 × 2,264.71
  4. Step 4: Simplify right side
    3,680.45x = 11,505,799.78
  5. Step 5: Solve for x
    x = 11,505,799.78/3,680.45
  6. Step 6: Final answer
    x = 3,126.19

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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.