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Finding the Fourth Proportional to 5,016.22, 6,922.64 and 2,778.34

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Solution

The fourth proportional to 5,016.22, 6,922.64 and 2,778.34 is: 3,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.22 : 6,922.64 = 2,778.34 : x
  2. Step 2: Convert to fraction form
    5,016.22/6,922.64 = 2,778.34/x
  3. Step 3: Cross multiply
    5,016.22x = 6,922.64 × 2,778.34
  4. Step 4: Simplify right side
    5,016.22x = 19,233,447.62
  5. Step 5: Solve for x
    x = 19,233,447.62/5,016.22
  6. Step 6: Final answer
    x = 3,834.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.