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Finding the Fourth Proportional to 3,027.28, 4,540.58 and 836.32

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Solution

The fourth proportional to 3,027.28, 4,540.58 and 836.32 is: 1,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.28 : 4,540.58 = 836.32 : x
  2. Step 2: Convert to fraction form
    3,027.28/4,540.58 = 836.32/x
  3. Step 3: Cross multiply
    3,027.28x = 4,540.58 × 836.32
  4. Step 4: Simplify right side
    3,027.28x = 3,797,377.87
  5. Step 5: Solve for x
    x = 3,797,377.87/3,027.28
  6. Step 6: Final answer
    x = 1,254.39

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