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Finding the Fourth Proportional to 5,424.02, 7,485.42 and 3,186.02

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Solution

The fourth proportional to 5,424.02, 7,485.42 and 3,186.02 is: 4,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.02 : 7,485.42 = 3,186.02 : x
  2. Step 2: Convert to fraction form
    5,424.02/7,485.42 = 3,186.02/x
  3. Step 3: Cross multiply
    5,424.02x = 7,485.42 × 3,186.02
  4. Step 4: Simplify right side
    5,424.02x = 23,848,697.83
  5. Step 5: Solve for x
    x = 23,848,697.83/5,424.02
  6. Step 6: Final answer
    x = 4,396.87

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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.