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Finding the Fourth Proportional to 5,748.60, 7,932.78 and 3,196.26

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Solution

The fourth proportional to 5,748.60, 7,932.78 and 3,196.26 is: 4,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.60 : 7,932.78 = 3,196.26 : x
  2. Step 2: Convert to fraction form
    5,748.60/7,932.78 = 3,196.26/x
  3. Step 3: Cross multiply
    5,748.60x = 7,932.78 × 3,196.26
  4. Step 4: Simplify right side
    5,748.60x = 25,355,227.40
  5. Step 5: Solve for x
    x = 25,355,227.40/5,748.60
  6. Step 6: Final answer
    x = 4,410.68

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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.