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Finding the Fourth Proportional to 5,286.74, 7,930.19 and 2,513.70

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Solution

The fourth proportional to 5,286.74, 7,930.19 and 2,513.70 is: 3,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.74 : 7,930.19 = 2,513.70 : x
  2. Step 2: Convert to fraction form
    5,286.74/7,930.19 = 2,513.70/x
  3. Step 3: Cross multiply
    5,286.74x = 7,930.19 × 2,513.70
  4. Step 4: Simplify right side
    5,286.74x = 19,934,118.60
  5. Step 5: Solve for x
    x = 19,934,118.60/5,286.74
  6. Step 6: Final answer
    x = 3,770.59

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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.