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Finding the Fourth Proportional to 5,657.44, 7,807.26 and 3,299.13

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Solution

The fourth proportional to 5,657.44, 7,807.26 and 3,299.13 is: 4,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.44 : 7,807.26 = 3,299.13 : x
  2. Step 2: Convert to fraction form
    5,657.44/7,807.26 = 3,299.13/x
  3. Step 3: Cross multiply
    5,657.44x = 7,807.26 × 3,299.13
  4. Step 4: Simplify right side
    5,657.44x = 25,757,165.68
  5. Step 5: Solve for x
    x = 25,757,165.68/5,657.44
  6. Step 6: Final answer
    x = 4,552.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.