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Finding the Fourth Proportional to 4,738.68, 7,109.23 and 1,817.21

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Solution

The fourth proportional to 4,738.68, 7,109.23 and 1,817.21 is: 2,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.68 : 7,109.23 = 1,817.21 : x
  2. Step 2: Convert to fraction form
    4,738.68/7,109.23 = 1,817.21/x
  3. Step 3: Cross multiply
    4,738.68x = 7,109.23 × 1,817.21
  4. Step 4: Simplify right side
    4,738.68x = 12,918,963.85
  5. Step 5: Solve for x
    x = 12,918,963.85/4,738.68
  6. Step 6: Final answer
    x = 2,726.28

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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.