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Finding the Fourth Proportional to 5,297.81, 7,311.47 and 2,940.71

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Solution

The fourth proportional to 5,297.81, 7,311.47 and 2,940.71 is: 4,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.81 : 7,311.47 = 2,940.71 : x
  2. Step 2: Convert to fraction form
    5,297.81/7,311.47 = 2,940.71/x
  3. Step 3: Cross multiply
    5,297.81x = 7,311.47 × 2,940.71
  4. Step 4: Simplify right side
    5,297.81x = 21,500,861.68
  5. Step 5: Solve for x
    x = 21,500,861.68/5,297.81
  6. Step 6: Final answer
    x = 4,058.45

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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.