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Finding the Fourth Proportional to 5,408.16, 7,463.25 and 2,924.16

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Solution

The fourth proportional to 5,408.16, 7,463.25 and 2,924.16 is: 4,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.16 : 7,463.25 = 2,924.16 : x
  2. Step 2: Convert to fraction form
    5,408.16/7,463.25 = 2,924.16/x
  3. Step 3: Cross multiply
    5,408.16x = 7,463.25 × 2,924.16
  4. Step 4: Simplify right side
    5,408.16x = 21,823,737.12
  5. Step 5: Solve for x
    x = 21,823,737.12/5,408.16
  6. Step 6: Final answer
    x = 4,035.33

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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.