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Finding the Fourth Proportional to 5,163.84, 7,738.54 and 2,564.16

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Solution

The fourth proportional to 5,163.84, 7,738.54 and 2,564.16 is: 3,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.84 : 7,738.54 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    5,163.84/7,738.54 = 2,564.16/x
  3. Step 3: Cross multiply
    5,163.84x = 7,738.54 × 2,564.16
  4. Step 4: Simplify right side
    5,163.84x = 19,842,854.73
  5. Step 5: Solve for x
    x = 19,842,854.73/5,163.84
  6. Step 6: Final answer
    x = 3,842.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.