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Finding the Fourth Proportional to 4,912.86, 6,777.17 and 2,922

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Solution

The fourth proportional to 4,912.86, 6,777.17 and 2,922 is: 4,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.86 : 6,777.17 = 2,922 : x
  2. Step 2: Convert to fraction form
    4,912.86/6,777.17 = 2,922/x
  3. Step 3: Cross multiply
    4,912.86x = 6,777.17 × 2,922
  4. Step 4: Simplify right side
    4,912.86x = 19,802,876.13
  5. Step 5: Solve for x
    x = 19,802,876.13/4,912.86
  6. Step 6: Final answer
    x = 4,030.82

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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.