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Finding the Fourth Proportional to 5,247.72, 7,869.73 and 1,548.96

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Solution

The fourth proportional to 5,247.72, 7,869.73 and 1,548.96 is: 2,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.72 : 7,869.73 = 1,548.96 : x
  2. Step 2: Convert to fraction form
    5,247.72/7,869.73 = 1,548.96/x
  3. Step 3: Cross multiply
    5,247.72x = 7,869.73 × 1,548.96
  4. Step 4: Simplify right side
    5,247.72x = 12,189,896.98
  5. Step 5: Solve for x
    x = 12,189,896.98/5,247.72
  6. Step 6: Final answer
    x = 2,322.89

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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.