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Finding the Fourth Proportional to 5,163.84, 7,126.08 and 2,806.08

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Solution

The fourth proportional to 5,163.84, 7,126.08 and 2,806.08 is: 3,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.84 : 7,126.08 = 2,806.08 : x
  2. Step 2: Convert to fraction form
    5,163.84/7,126.08 = 2,806.08/x
  3. Step 3: Cross multiply
    5,163.84x = 7,126.08 × 2,806.08
  4. Step 4: Simplify right side
    5,163.84x = 19,996,350.57
  5. Step 5: Solve for x
    x = 19,996,350.57/5,163.84
  6. Step 6: Final answer
    x = 3,872.38

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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.