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Finding the Fourth Proportional to 5,469.30, 7,548.09 and 4,471.77

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Solution

The fourth proportional to 5,469.30, 7,548.09 and 4,471.77 is: 6,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.30 : 7,548.09 = 4,471.77 : x
  2. Step 2: Convert to fraction form
    5,469.30/7,548.09 = 4,471.77/x
  3. Step 3: Cross multiply
    5,469.30x = 7,548.09 × 4,471.77
  4. Step 4: Simplify right side
    5,469.30x = 33,753,322.42
  5. Step 5: Solve for x
    x = 33,753,322.42/5,469.30
  6. Step 6: Final answer
    x = 6,171.42

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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.