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Finding the Fourth Proportional to 4,687.24, 7,028.74 and 1,763.47

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Solution

The fourth proportional to 4,687.24, 7,028.74 and 1,763.47 is: 2,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.24 : 7,028.74 = 1,763.47 : x
  2. Step 2: Convert to fraction form
    4,687.24/7,028.74 = 1,763.47/x
  3. Step 3: Cross multiply
    4,687.24x = 7,028.74 × 1,763.47
  4. Step 4: Simplify right side
    4,687.24x = 12,394,972.13
  5. Step 5: Solve for x
    x = 12,394,972.13/4,687.24
  6. Step 6: Final answer
    x = 2,644.41

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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.