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Finding the Fourth Proportional to 4,109.54, 6,163.49 and 1,476.97

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Solution

The fourth proportional to 4,109.54, 6,163.49 and 1,476.97 is: 2,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.54 : 6,163.49 = 1,476.97 : x
  2. Step 2: Convert to fraction form
    4,109.54/6,163.49 = 1,476.97/x
  3. Step 3: Cross multiply
    4,109.54x = 6,163.49 × 1,476.97
  4. Step 4: Simplify right side
    4,109.54x = 9,103,278.11
  5. Step 5: Solve for x
    x = 9,103,278.11/4,109.54
  6. Step 6: Final answer
    x = 2,215.16

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