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Finding the Fourth Proportional to 5,932.68, 8,193.58 and 3,951.64

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Solution

The fourth proportional to 5,932.68, 8,193.58 and 3,951.64 is: 5,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.68 : 8,193.58 = 3,951.64 : x
  2. Step 2: Convert to fraction form
    5,932.68/8,193.58 = 3,951.64/x
  3. Step 3: Cross multiply
    5,932.68x = 8,193.58 × 3,951.64
  4. Step 4: Simplify right side
    5,932.68x = 32,378,078.47
  5. Step 5: Solve for x
    x = 32,378,078.47/5,932.68
  6. Step 6: Final answer
    x = 5,457.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.