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Finding the Fourth Proportional to 5,715.97, 7,878.60 and 3,826.87

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Solution

The fourth proportional to 5,715.97, 7,878.60 and 3,826.87 is: 5,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.97 : 7,878.60 = 3,826.87 : x
  2. Step 2: Convert to fraction form
    5,715.97/7,878.60 = 3,826.87/x
  3. Step 3: Cross multiply
    5,715.97x = 7,878.60 × 3,826.87
  4. Step 4: Simplify right side
    5,715.97x = 30,150,377.98
  5. Step 5: Solve for x
    x = 30,150,377.98/5,715.97
  6. Step 6: Final answer
    x = 5,274.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.