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Finding the Fourth Proportional to 5,960.16, 8,222.61 and 3,835.29

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Solution

The fourth proportional to 5,960.16, 8,222.61 and 3,835.29 is: 5,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.16 : 8,222.61 = 3,835.29 : x
  2. Step 2: Convert to fraction form
    5,960.16/8,222.61 = 3,835.29/x
  3. Step 3: Cross multiply
    5,960.16x = 8,222.61 × 3,835.29
  4. Step 4: Simplify right side
    5,960.16x = 31,536,093.91
  5. Step 5: Solve for x
    x = 31,536,093.91/5,960.16
  6. Step 6: Final answer
    x = 5,291.15

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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.