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Finding the Fourth Proportional to 5,286.80, 7,930.20 and 4,865.60

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Solution

The fourth proportional to 5,286.80, 7,930.20 and 4,865.60 is: 7,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.80 : 7,930.20 = 4,865.60 : x
  2. Step 2: Convert to fraction form
    5,286.80/7,930.20 = 4,865.60/x
  3. Step 3: Cross multiply
    5,286.80x = 7,930.20 × 4,865.60
  4. Step 4: Simplify right side
    5,286.80x = 38,585,181.12
  5. Step 5: Solve for x
    x = 38,585,181.12/5,286.80
  6. Step 6: Final answer
    x = 7,298.40

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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.