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Finding the Fourth Proportional to 5,964.81, 8,938.22 and 5,439.59

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Solution

The fourth proportional to 5,964.81, 8,938.22 and 5,439.59 is: 8,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.81 : 8,938.22 = 5,439.59 : x
  2. Step 2: Convert to fraction form
    5,964.81/8,938.22 = 5,439.59/x
  3. Step 3: Cross multiply
    5,964.81x = 8,938.22 × 5,439.59
  4. Step 4: Simplify right side
    5,964.81x = 48,620,297.36
  5. Step 5: Solve for x
    x = 48,620,297.36/5,964.81
  6. Step 6: Final answer
    x = 8,151.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.