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Finding the Fourth Proportional to 5,960.36, 8,225.62 and 3,837.16

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Solution

The fourth proportional to 5,960.36, 8,225.62 and 3,837.16 is: 5,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.36 : 8,225.62 = 3,837.16 : x
  2. Step 2: Convert to fraction form
    5,960.36/8,225.62 = 3,837.16/x
  3. Step 3: Cross multiply
    5,960.36x = 8,225.62 × 3,837.16
  4. Step 4: Simplify right side
    5,960.36x = 31,563,020.04
  5. Step 5: Solve for x
    x = 31,563,020.04/5,960.36
  6. Step 6: Final answer
    x = 5,295.49

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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.