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Finding the Fourth Proportional to 3,653.76, 5,042.18 and 2,081.88

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Solution

The fourth proportional to 3,653.76, 5,042.18 and 2,081.88 is: 2,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.76 : 5,042.18 = 2,081.88 : x
  2. Step 2: Convert to fraction form
    3,653.76/5,042.18 = 2,081.88/x
  3. Step 3: Cross multiply
    3,653.76x = 5,042.18 × 2,081.88
  4. Step 4: Simplify right side
    3,653.76x = 10,497,213.70
  5. Step 5: Solve for x
    x = 10,497,213.70/3,653.76
  6. Step 6: Final answer
    x = 2,872.99

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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.