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Finding the Fourth Proportional to 3,491.36, 5,239.47 and 2,396.78

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Solution

The fourth proportional to 3,491.36, 5,239.47 and 2,396.78 is: 3,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.36 : 5,239.47 = 2,396.78 : x
  2. Step 2: Convert to fraction form
    3,491.36/5,239.47 = 2,396.78/x
  3. Step 3: Cross multiply
    3,491.36x = 5,239.47 × 2,396.78
  4. Step 4: Simplify right side
    3,491.36x = 12,557,856.91
  5. Step 5: Solve for x
    x = 12,557,856.91/3,491.36
  6. Step 6: Final answer
    x = 3,596.84

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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.