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Finding the Fourth Proportional to 5,202.71, 7,822.80 and 4,796.81

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Solution

The fourth proportional to 5,202.71, 7,822.80 and 4,796.81 is: 7,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.71 : 7,822.80 = 4,796.81 : x
  2. Step 2: Convert to fraction form
    5,202.71/7,822.80 = 4,796.81/x
  3. Step 3: Cross multiply
    5,202.71x = 7,822.80 × 4,796.81
  4. Step 4: Simplify right side
    5,202.71x = 37,524,485.27
  5. Step 5: Solve for x
    x = 37,524,485.27/5,202.71
  6. Step 6: Final answer
    x = 7,212.49

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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.