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Finding the Fourth Proportional to 5,247.74, 7,871.61 and 1,351.84

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Solution

The fourth proportional to 5,247.74, 7,871.61 and 1,351.84 is: 2,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.74 : 7,871.61 = 1,351.84 : x
  2. Step 2: Convert to fraction form
    5,247.74/7,871.61 = 1,351.84/x
  3. Step 3: Cross multiply
    5,247.74x = 7,871.61 × 1,351.84
  4. Step 4: Simplify right side
    5,247.74x = 10,641,157.26
  5. Step 5: Solve for x
    x = 10,641,157.26/5,247.74
  6. Step 6: Final answer
    x = 2,027.76

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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.