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Finding the Fourth Proportional to 5,102.82, 7,041.78 and 2,834.01

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Solution

The fourth proportional to 5,102.82, 7,041.78 and 2,834.01 is: 3,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.82 : 7,041.78 = 2,834.01 : x
  2. Step 2: Convert to fraction form
    5,102.82/7,041.78 = 2,834.01/x
  3. Step 3: Cross multiply
    5,102.82x = 7,041.78 × 2,834.01
  4. Step 4: Simplify right side
    5,102.82x = 19,956,474.94
  5. Step 5: Solve for x
    x = 19,956,474.94/5,102.82
  6. Step 6: Final answer
    x = 3,910.87

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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.