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Finding the Fourth Proportional to 5,120.79, 7,683.60 and 2,654.28

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Solution

The fourth proportional to 5,120.79, 7,683.60 and 2,654.28 is: 3,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.79 : 7,683.60 = 2,654.28 : x
  2. Step 2: Convert to fraction form
    5,120.79/7,683.60 = 2,654.28/x
  3. Step 3: Cross multiply
    5,120.79x = 7,683.60 × 2,654.28
  4. Step 4: Simplify right side
    5,120.79x = 20,394,425.81
  5. Step 5: Solve for x
    x = 20,394,425.81/5,120.79
  6. Step 6: Final answer
    x = 3,982.67

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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.