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Finding the Fourth Proportional to 5,885.38, 8,123.64 and 3,789.50

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Solution

The fourth proportional to 5,885.38, 8,123.64 and 3,789.50 is: 5,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.38 : 8,123.64 = 3,789.50 : x
  2. Step 2: Convert to fraction form
    5,885.38/8,123.64 = 3,789.50/x
  3. Step 3: Cross multiply
    5,885.38x = 8,123.64 × 3,789.50
  4. Step 4: Simplify right side
    5,885.38x = 30,784,533.78
  5. Step 5: Solve for x
    x = 30,784,533.78/5,885.38
  6. Step 6: Final answer
    x = 5,230.68

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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.