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Finding the Fourth Proportional to 5,631.48, 7,771.02 and 3,147

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Solution

The fourth proportional to 5,631.48, 7,771.02 and 3,147 is: 4,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.48 : 7,771.02 = 3,147 : x
  2. Step 2: Convert to fraction form
    5,631.48/7,771.02 = 3,147/x
  3. Step 3: Cross multiply
    5,631.48x = 7,771.02 × 3,147
  4. Step 4: Simplify right side
    5,631.48x = 24,455,399.94
  5. Step 5: Solve for x
    x = 24,455,399.94/5,631.48
  6. Step 6: Final answer
    x = 4,342.62

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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.