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Finding the Fourth Proportional to 5,297.81, 7,311.27 and 3,202.61

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Solution

The fourth proportional to 5,297.81, 7,311.27 and 3,202.61 is: 4,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.81 : 7,311.27 = 3,202.61 : x
  2. Step 2: Convert to fraction form
    5,297.81/7,311.27 = 3,202.61/x
  3. Step 3: Cross multiply
    5,297.81x = 7,311.27 × 3,202.61
  4. Step 4: Simplify right side
    5,297.81x = 23,415,109.86
  5. Step 5: Solve for x
    x = 23,415,109.86/5,297.81
  6. Step 6: Final answer
    x = 4,419.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.