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Finding the Fourth Proportional to 5,964.76, 8,938.82 and 5,082.68

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Solution

The fourth proportional to 5,964.76, 8,938.82 and 5,082.68 is: 7,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.76 : 8,938.82 = 5,082.68 : x
  2. Step 2: Convert to fraction form
    5,964.76/8,938.82 = 5,082.68/x
  3. Step 3: Cross multiply
    5,964.76x = 8,938.82 × 5,082.68
  4. Step 4: Simplify right side
    5,964.76x = 45,433,161.64
  5. Step 5: Solve for x
    x = 45,433,161.64/5,964.76
  6. Step 6: Final answer
    x = 7,616.93

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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.