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Finding the Fourth Proportional to 5,396.77, 7,447.58 and 3,408.22

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Solution

The fourth proportional to 5,396.77, 7,447.58 and 3,408.22 is: 4,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.77 : 7,447.58 = 3,408.22 : x
  2. Step 2: Convert to fraction form
    5,396.77/7,447.58 = 3,408.22/x
  3. Step 3: Cross multiply
    5,396.77x = 7,447.58 × 3,408.22
  4. Step 4: Simplify right side
    5,396.77x = 25,382,991.11
  5. Step 5: Solve for x
    x = 25,382,991.11/5,396.77
  6. Step 6: Final answer
    x = 4,703.37

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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.