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Finding the Fourth Proportional to 3,535.82, 5,305.10 and 1,456.82

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Solution

The fourth proportional to 3,535.82, 5,305.10 and 1,456.82 is: 2,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.82 : 5,305.10 = 1,456.82 : x
  2. Step 2: Convert to fraction form
    3,535.82/5,305.10 = 1,456.82/x
  3. Step 3: Cross multiply
    3,535.82x = 5,305.10 × 1,456.82
  4. Step 4: Simplify right side
    3,535.82x = 7,728,541.97
  5. Step 5: Solve for x
    x = 7,728,541.97/3,535.82
  6. Step 6: Final answer
    x = 2,185.79

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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.