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Finding the Fourth Proportional to 5,856.67, 8,783.20 and 3,855.27

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Solution

The fourth proportional to 5,856.67, 8,783.20 and 3,855.27 is: 5,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.67 : 8,783.20 = 3,855.27 : x
  2. Step 2: Convert to fraction form
    5,856.67/8,783.20 = 3,855.27/x
  3. Step 3: Cross multiply
    5,856.67x = 8,783.20 × 3,855.27
  4. Step 4: Simplify right side
    5,856.67x = 33,861,607.46
  5. Step 5: Solve for x
    x = 33,861,607.46/5,856.67
  6. Step 6: Final answer
    x = 5,781.72

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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.