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Finding the Fourth Proportional to 5,906.15, 8,142.32 and 4,224.62

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Solution

The fourth proportional to 5,906.15, 8,142.32 and 4,224.62 is: 5,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.15 : 8,142.32 = 4,224.62 : x
  2. Step 2: Convert to fraction form
    5,906.15/8,142.32 = 4,224.62/x
  3. Step 3: Cross multiply
    5,906.15x = 8,142.32 × 4,224.62
  4. Step 4: Simplify right side
    5,906.15x = 34,398,146.08
  5. Step 5: Solve for x
    x = 34,398,146.08/5,906.15
  6. Step 6: Final answer
    x = 5,824.13

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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.