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Finding the Fourth Proportional to 5,962.44, 8,222.14 and 3,603.24

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Solution

The fourth proportional to 5,962.44, 8,222.14 and 3,603.24 is: 4,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.44 : 8,222.14 = 3,603.24 : x
  2. Step 2: Convert to fraction form
    5,962.44/8,222.14 = 3,603.24/x
  3. Step 3: Cross multiply
    5,962.44x = 8,222.14 × 3,603.24
  4. Step 4: Simplify right side
    5,962.44x = 29,626,343.73
  5. Step 5: Solve for x
    x = 29,626,343.73/5,962.44
  6. Step 6: Final answer
    x = 4,968.83

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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.