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Finding the Fourth Proportional to 5,222.83, 7,834.25 and 3,992.44

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Solution

The fourth proportional to 5,222.83, 7,834.25 and 3,992.44 is: 5,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.83 : 7,834.25 = 3,992.44 : x
  2. Step 2: Convert to fraction form
    5,222.83/7,834.25 = 3,992.44/x
  3. Step 3: Cross multiply
    5,222.83x = 7,834.25 × 3,992.44
  4. Step 4: Simplify right side
    5,222.83x = 31,277,773.07
  5. Step 5: Solve for x
    x = 31,277,773.07/5,222.83
  6. Step 6: Final answer
    x = 5,988.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.