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Finding the Fourth Proportional to 5,242.80, 7,853.76 and 3,163.36

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Solution

The fourth proportional to 5,242.80, 7,853.76 and 3,163.36 is: 4,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.80 : 7,853.76 = 3,163.36 : x
  2. Step 2: Convert to fraction form
    5,242.80/7,853.76 = 3,163.36/x
  3. Step 3: Cross multiply
    5,242.80x = 7,853.76 × 3,163.36
  4. Step 4: Simplify right side
    5,242.80x = 24,844,270.23
  5. Step 5: Solve for x
    x = 24,844,270.23/5,242.80
  6. Step 6: Final answer
    x = 4,738.74

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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.