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Finding the Fourth Proportional to 5,861.53, 8,086.47 and 4,286.89

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Solution

The fourth proportional to 5,861.53, 8,086.47 and 4,286.89 is: 5,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.53 : 8,086.47 = 4,286.89 : x
  2. Step 2: Convert to fraction form
    5,861.53/8,086.47 = 4,286.89/x
  3. Step 3: Cross multiply
    5,861.53x = 8,086.47 × 4,286.89
  4. Step 4: Simplify right side
    5,861.53x = 34,665,807.38
  5. Step 5: Solve for x
    x = 34,665,807.38/5,861.53
  6. Step 6: Final answer
    x = 5,914.12

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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.