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Finding the Fourth Proportional to 3,813.58, 5,262.17 and 2,396.59

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Solution

The fourth proportional to 3,813.58, 5,262.17 and 2,396.59 is: 3,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.58 : 5,262.17 = 2,396.59 : x
  2. Step 2: Convert to fraction form
    3,813.58/5,262.17 = 2,396.59/x
  3. Step 3: Cross multiply
    3,813.58x = 5,262.17 × 2,396.59
  4. Step 4: Simplify right side
    3,813.58x = 12,611,238.86
  5. Step 5: Solve for x
    x = 12,611,238.86/3,813.58
  6. Step 6: Final answer
    x = 3,306.93

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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.