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Finding the Fourth Proportional to 3,653.08, 5,041.64 and 2,081.28

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Solution

The fourth proportional to 3,653.08, 5,041.64 and 2,081.28 is: 2,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.08 : 5,041.64 = 2,081.28 : x
  2. Step 2: Convert to fraction form
    3,653.08/5,041.64 = 2,081.28/x
  3. Step 3: Cross multiply
    3,653.08x = 5,041.64 × 2,081.28
  4. Step 4: Simplify right side
    3,653.08x = 10,493,064.50
  5. Step 5: Solve for x
    x = 10,493,064.50/3,653.08
  6. Step 6: Final answer
    x = 2,872.39

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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.