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Finding the Fourth Proportional to 5,286.54, 7,930.07 and 4,360.38

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Solution

The fourth proportional to 5,286.54, 7,930.07 and 4,360.38 is: 6,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.54 : 7,930.07 = 4,360.38 : x
  2. Step 2: Convert to fraction form
    5,286.54/7,930.07 = 4,360.38/x
  3. Step 3: Cross multiply
    5,286.54x = 7,930.07 × 4,360.38
  4. Step 4: Simplify right side
    5,286.54x = 34,578,118.63
  5. Step 5: Solve for x
    x = 34,578,118.63/5,286.54
  6. Step 6: Final answer
    x = 6,540.78

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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.