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Finding the Fourth Proportional to 5,250.13, 7,876 and 1,963.69

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Solution

The fourth proportional to 5,250.13, 7,876 and 1,963.69 is: 2,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.13 : 7,876 = 1,963.69 : x
  2. Step 2: Convert to fraction form
    5,250.13/7,876 = 1,963.69/x
  3. Step 3: Cross multiply
    5,250.13x = 7,876 × 1,963.69
  4. Step 4: Simplify right side
    5,250.13x = 15,465,983.06
  5. Step 5: Solve for x
    x = 15,465,983.06/5,250.13
  6. Step 6: Final answer
    x = 2,945.83

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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.