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Finding the Fourth Proportional to 4,778.73, 7,163.82 and 1,856.34

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Solution

The fourth proportional to 4,778.73, 7,163.82 and 1,856.34 is: 2,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.73 : 7,163.82 = 1,856.34 : x
  2. Step 2: Convert to fraction form
    4,778.73/7,163.82 = 1,856.34/x
  3. Step 3: Cross multiply
    4,778.73x = 7,163.82 × 1,856.34
  4. Step 4: Simplify right side
    4,778.73x = 13,298,485.62
  5. Step 5: Solve for x
    x = 13,298,485.62/4,778.73
  6. Step 6: Final answer
    x = 2,782.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.