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Finding the Fourth Proportional to 4,026.75, 5,552.22 and 3,777.66

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Solution

The fourth proportional to 4,026.75, 5,552.22 and 3,777.66 is: 5,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.75 : 5,552.22 = 3,777.66 : x
  2. Step 2: Convert to fraction form
    4,026.75/5,552.22 = 3,777.66/x
  3. Step 3: Cross multiply
    4,026.75x = 5,552.22 × 3,777.66
  4. Step 4: Simplify right side
    4,026.75x = 20,974,399.41
  5. Step 5: Solve for x
    x = 20,974,399.41/4,026.75
  6. Step 6: Final answer
    x = 5,208.77

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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.