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Finding the Fourth Proportional to 4,174.97, 6,232.61 and 4,028.95

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Solution

The fourth proportional to 4,174.97, 6,232.61 and 4,028.95 is: 6,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.97 : 6,232.61 = 4,028.95 : x
  2. Step 2: Convert to fraction form
    4,174.97/6,232.61 = 4,028.95/x
  3. Step 3: Cross multiply
    4,174.97x = 6,232.61 × 4,028.95
  4. Step 4: Simplify right side
    4,174.97x = 25,110,838.33
  5. Step 5: Solve for x
    x = 25,110,838.33/4,174.97
  6. Step 6: Final answer
    x = 6,014.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.