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Finding the Fourth Proportional to 4,252.57, 6,367.89 and 3,415.73

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Solution

The fourth proportional to 4,252.57, 6,367.89 and 3,415.73 is: 5,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.57 : 6,367.89 = 3,415.73 : x
  2. Step 2: Convert to fraction form
    4,252.57/6,367.89 = 3,415.73/x
  3. Step 3: Cross multiply
    4,252.57x = 6,367.89 × 3,415.73
  4. Step 4: Simplify right side
    4,252.57x = 21,750,992.91
  5. Step 5: Solve for x
    x = 21,750,992.91/4,252.57
  6. Step 6: Final answer
    x = 5,114.79

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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.