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Finding the Fourth Proportional to 3,705.20, 5,553.56 and 1,754.64

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Solution

The fourth proportional to 3,705.20, 5,553.56 and 1,754.64 is: 2,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.20 : 5,553.56 = 1,754.64 : x
  2. Step 2: Convert to fraction form
    3,705.20/5,553.56 = 1,754.64/x
  3. Step 3: Cross multiply
    3,705.20x = 5,553.56 × 1,754.64
  4. Step 4: Simplify right side
    3,705.20x = 9,744,498.52
  5. Step 5: Solve for x
    x = 9,744,498.52/3,705.20
  6. Step 6: Final answer
    x = 2,629.95

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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.