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Finding the Fourth Proportional to 4,509.88, 6,227.46 and 3,767.80

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Solution

The fourth proportional to 4,509.88, 6,227.46 and 3,767.80 is: 5,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.88 : 6,227.46 = 3,767.80 : x
  2. Step 2: Convert to fraction form
    4,509.88/6,227.46 = 3,767.80/x
  3. Step 3: Cross multiply
    4,509.88x = 6,227.46 × 3,767.80
  4. Step 4: Simplify right side
    4,509.88x = 23,463,823.79
  5. Step 5: Solve for x
    x = 23,463,823.79/4,509.88
  6. Step 6: Final answer
    x = 5,202.76

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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.