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Finding the Fourth Proportional to 3,749.60, 5,629.80 and 2,928.80

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Solution

The fourth proportional to 3,749.60, 5,629.80 and 2,928.80 is: 4,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.60 : 5,629.80 = 2,928.80 : x
  2. Step 2: Convert to fraction form
    3,749.60/5,629.80 = 2,928.80/x
  3. Step 3: Cross multiply
    3,749.60x = 5,629.80 × 2,928.80
  4. Step 4: Simplify right side
    3,749.60x = 16,488,558.24
  5. Step 5: Solve for x
    x = 16,488,558.24/3,749.60
  6. Step 6: Final answer
    x = 4,397.42

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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.