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Finding the Fourth Proportional to 4,480.97, 6,716.41 and 2,174.09

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Solution

The fourth proportional to 4,480.97, 6,716.41 and 2,174.09 is: 3,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.97 : 6,716.41 = 2,174.09 : x
  2. Step 2: Convert to fraction form
    4,480.97/6,716.41 = 2,174.09/x
  3. Step 3: Cross multiply
    4,480.97x = 6,716.41 × 2,174.09
  4. Step 4: Simplify right side
    4,480.97x = 14,602,040.80
  5. Step 5: Solve for x
    x = 14,602,040.80/4,480.97
  6. Step 6: Final answer
    x = 3,258.68

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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.