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Finding the Fourth Proportional to 3,505.24, 5,257.80 and 1,657.24

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Solution

The fourth proportional to 3,505.24, 5,257.80 and 1,657.24 is: 2,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.24 : 5,257.80 = 1,657.24 : x
  2. Step 2: Convert to fraction form
    3,505.24/5,257.80 = 1,657.24/x
  3. Step 3: Cross multiply
    3,505.24x = 5,257.80 × 1,657.24
  4. Step 4: Simplify right side
    3,505.24x = 8,713,436.47
  5. Step 5: Solve for x
    x = 8,713,436.47/3,505.24
  6. Step 6: Final answer
    x = 2,485.83

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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.