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Finding the Fourth Proportional to 5,247.72, 7,871.54 and 1,352.12

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Solution

The fourth proportional to 5,247.72, 7,871.54 and 1,352.12 is: 2,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.72 : 7,871.54 = 1,352.12 : x
  2. Step 2: Convert to fraction form
    5,247.72/7,871.54 = 1,352.12/x
  3. Step 3: Cross multiply
    5,247.72x = 7,871.54 × 1,352.12
  4. Step 4: Simplify right side
    5,247.72x = 10,643,220.55
  5. Step 5: Solve for x
    x = 10,643,220.55/5,247.72
  6. Step 6: Final answer
    x = 2,028.16

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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.