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Finding the Fourth Proportional to 6,288.62, 8,679.50 and 4,164.18

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Solution

The fourth proportional to 6,288.62, 8,679.50 and 4,164.18 is: 5,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.62 : 8,679.50 = 4,164.18 : x
  2. Step 2: Convert to fraction form
    6,288.62/8,679.50 = 4,164.18/x
  3. Step 3: Cross multiply
    6,288.62x = 8,679.50 × 4,164.18
  4. Step 4: Simplify right side
    6,288.62x = 36,143,000.31
  5. Step 5: Solve for x
    x = 36,143,000.31/6,288.62
  6. Step 6: Final answer
    x = 5,747.37

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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.