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Finding the Fourth Proportional to 6,320.38, 8,719.50 and 3,958.42

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Solution

The fourth proportional to 6,320.38, 8,719.50 and 3,958.42 is: 5,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.38 : 8,719.50 = 3,958.42 : x
  2. Step 2: Convert to fraction form
    6,320.38/8,719.50 = 3,958.42/x
  3. Step 3: Cross multiply
    6,320.38x = 8,719.50 × 3,958.42
  4. Step 4: Simplify right side
    6,320.38x = 34,515,443.19
  5. Step 5: Solve for x
    x = 34,515,443.19/6,320.38
  6. Step 6: Final answer
    x = 5,460.98

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Why These Related Problems?

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