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Finding the Fourth Proportional to 4,754.25, 6,545.07 and 4,163.76

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Solution

The fourth proportional to 4,754.25, 6,545.07 and 4,163.76 is: 5,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.25 : 6,545.07 = 4,163.76 : x
  2. Step 2: Convert to fraction form
    4,754.25/6,545.07 = 4,163.76/x
  3. Step 3: Cross multiply
    4,754.25x = 6,545.07 × 4,163.76
  4. Step 4: Simplify right side
    4,754.25x = 27,252,100.66
  5. Step 5: Solve for x
    x = 27,252,100.66/4,754.25
  6. Step 6: Final answer
    x = 5,732.16

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