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Finding the Fourth Proportional to 3,575.12, 4,933.80 and 2,003.12

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Solution

The fourth proportional to 3,575.12, 4,933.80 and 2,003.12 is: 2,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.12 : 4,933.80 = 2,003.12 : x
  2. Step 2: Convert to fraction form
    3,575.12/4,933.80 = 2,003.12/x
  3. Step 3: Cross multiply
    3,575.12x = 4,933.80 × 2,003.12
  4. Step 4: Simplify right side
    3,575.12x = 9,882,993.46
  5. Step 5: Solve for x
    x = 9,882,993.46/3,575.12
  6. Step 6: Final answer
    x = 2,764.38

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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.