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Finding the Fourth Proportional to 3,656.33, 5,482.52 and 1,896.97

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Solution

The fourth proportional to 3,656.33, 5,482.52 and 1,896.97 is: 2,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.33 : 5,482.52 = 1,896.97 : x
  2. Step 2: Convert to fraction form
    3,656.33/5,482.52 = 1,896.97/x
  3. Step 3: Cross multiply
    3,656.33x = 5,482.52 × 1,896.97
  4. Step 4: Simplify right side
    3,656.33x = 10,400,175.96
  5. Step 5: Solve for x
    x = 10,400,175.96/3,656.33
  6. Step 6: Final answer
    x = 2,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.