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Finding the Fourth Proportional to 3,575.82, 4,934.46 and 2,003.82

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Solution

The fourth proportional to 3,575.82, 4,934.46 and 2,003.82 is: 2,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.82 : 4,934.46 = 2,003.82 : x
  2. Step 2: Convert to fraction form
    3,575.82/4,934.46 = 2,003.82/x
  3. Step 3: Cross multiply
    3,575.82x = 4,934.46 × 2,003.82
  4. Step 4: Simplify right side
    3,575.82x = 9,887,769.64
  5. Step 5: Solve for x
    x = 9,887,769.64/3,575.82
  6. Step 6: Final answer
    x = 2,765.18

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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.