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Finding the Fourth Proportional to 5,749.60, 7,930.24 and 3,756.96

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Solution

The fourth proportional to 5,749.60, 7,930.24 and 3,756.96 is: 5,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.60 : 7,930.24 = 3,756.96 : x
  2. Step 2: Convert to fraction form
    5,749.60/7,930.24 = 3,756.96/x
  3. Step 3: Cross multiply
    5,749.60x = 7,930.24 × 3,756.96
  4. Step 4: Simplify right side
    5,749.60x = 29,793,594.47
  5. Step 5: Solve for x
    x = 29,793,594.47/5,749.60
  6. Step 6: Final answer
    x = 5,181.86

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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.