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Finding the Fourth Proportional to 3,578.38, 5,365.74 and 1,497.82

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Solution

The fourth proportional to 3,578.38, 5,365.74 and 1,497.82 is: 2,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.38 : 5,365.74 = 1,497.82 : x
  2. Step 2: Convert to fraction form
    3,578.38/5,365.74 = 1,497.82/x
  3. Step 3: Cross multiply
    3,578.38x = 5,365.74 × 1,497.82
  4. Step 4: Simplify right side
    3,578.38x = 8,036,912.69
  5. Step 5: Solve for x
    x = 8,036,912.69/3,578.38
  6. Step 6: Final answer
    x = 2,245.96

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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.