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Finding the Fourth Proportional to 5,462.92, 8,196.30 and 1,765.30

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Solution

The fourth proportional to 5,462.92, 8,196.30 and 1,765.30 is: 2,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.92 : 8,196.30 = 1,765.30 : x
  2. Step 2: Convert to fraction form
    5,462.92/8,196.30 = 1,765.30/x
  3. Step 3: Cross multiply
    5,462.92x = 8,196.30 × 1,765.30
  4. Step 4: Simplify right side
    5,462.92x = 14,468,928.39
  5. Step 5: Solve for x
    x = 14,468,928.39/5,462.92
  6. Step 6: Final answer
    x = 2,648.57

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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.