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Finding the Fourth Proportional to 4,767.36, 7,141 and 2,818.48

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Solution

The fourth proportional to 4,767.36, 7,141 and 2,818.48 is: 4,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.36 : 7,141 = 2,818.48 : x
  2. Step 2: Convert to fraction form
    4,767.36/7,141 = 2,818.48/x
  3. Step 3: Cross multiply
    4,767.36x = 7,141 × 2,818.48
  4. Step 4: Simplify right side
    4,767.36x = 20,126,765.68
  5. Step 5: Solve for x
    x = 20,126,765.68/4,767.36
  6. Step 6: Final answer
    x = 4,221.78

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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.