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Finding the Fourth Proportional to 4,288.47, 6,422.22 and 3,872.94

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Solution

The fourth proportional to 4,288.47, 6,422.22 and 3,872.94 is: 5,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.47 : 6,422.22 = 3,872.94 : x
  2. Step 2: Convert to fraction form
    4,288.47/6,422.22 = 3,872.94/x
  3. Step 3: Cross multiply
    4,288.47x = 6,422.22 × 3,872.94
  4. Step 4: Simplify right side
    4,288.47x = 24,872,872.73
  5. Step 5: Solve for x
    x = 24,872,872.73/4,288.47
  6. Step 6: Final answer
    x = 5,799.94

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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.