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Finding the Fourth Proportional to 3,910.72, 5,396.16 and 2,419.63

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Solution

The fourth proportional to 3,910.72, 5,396.16 and 2,419.63 is: 3,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.72 : 5,396.16 = 2,419.63 : x
  2. Step 2: Convert to fraction form
    3,910.72/5,396.16 = 2,419.63/x
  3. Step 3: Cross multiply
    3,910.72x = 5,396.16 × 2,419.63
  4. Step 4: Simplify right side
    3,910.72x = 13,056,710.62
  5. Step 5: Solve for x
    x = 13,056,710.62/3,910.72
  6. Step 6: Final answer
    x = 3,338.70

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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.