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Finding the Fourth Proportional to 5,163.87, 7,746.28 and 1,653.97

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Solution

The fourth proportional to 5,163.87, 7,746.28 and 1,653.97 is: 2,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.87 : 7,746.28 = 1,653.97 : x
  2. Step 2: Convert to fraction form
    5,163.87/7,746.28 = 1,653.97/x
  3. Step 3: Cross multiply
    5,163.87x = 7,746.28 × 1,653.97
  4. Step 4: Simplify right side
    5,163.87x = 12,812,114.73
  5. Step 5: Solve for x
    x = 12,812,114.73/5,163.87
  6. Step 6: Final answer
    x = 2,481.11

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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.