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Finding the Fourth Proportional to 5,839.29, 8,015.36 and 5,161.32

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Solution

The fourth proportional to 5,839.29, 8,015.36 and 5,161.32 is: 7,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.29 : 8,015.36 = 5,161.32 : x
  2. Step 2: Convert to fraction form
    5,839.29/8,015.36 = 5,161.32/x
  3. Step 3: Cross multiply
    5,839.29x = 8,015.36 × 5,161.32
  4. Step 4: Simplify right side
    5,839.29x = 41,369,812.07
  5. Step 5: Solve for x
    x = 41,369,812.07/5,839.29
  6. Step 6: Final answer
    x = 7,084.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.