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Finding the Fourth Proportional to 3,653.35, 5,041.61 and 2,081.44

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Solution

The fourth proportional to 3,653.35, 5,041.61 and 2,081.44 is: 2,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.35 : 5,041.61 = 2,081.44 : x
  2. Step 2: Convert to fraction form
    3,653.35/5,041.61 = 2,081.44/x
  3. Step 3: Cross multiply
    3,653.35x = 5,041.61 × 2,081.44
  4. Step 4: Simplify right side
    3,653.35x = 10,493,801.32
  5. Step 5: Solve for x
    x = 10,493,801.32/3,653.35
  6. Step 6: Final answer
    x = 2,872.38

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Why These Related Problems?

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