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Finding the Fourth Proportional to 5,122.68, 7,677.78 and 2,777.12

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Solution

The fourth proportional to 5,122.68, 7,677.78 and 2,777.12 is: 4,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.68 : 7,677.78 = 2,777.12 : x
  2. Step 2: Convert to fraction form
    5,122.68/7,677.78 = 2,777.12/x
  3. Step 3: Cross multiply
    5,122.68x = 7,677.78 × 2,777.12
  4. Step 4: Simplify right side
    5,122.68x = 21,322,116.39
  5. Step 5: Solve for x
    x = 21,322,116.39/5,122.68
  6. Step 6: Final answer
    x = 4,162.30

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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.