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Finding the Fourth Proportional to 3,395.97, 5,094.12 and 1,057.57

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Solution

The fourth proportional to 3,395.97, 5,094.12 and 1,057.57 is: 1,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.97 : 5,094.12 = 1,057.57 : x
  2. Step 2: Convert to fraction form
    3,395.97/5,094.12 = 1,057.57/x
  3. Step 3: Cross multiply
    3,395.97x = 5,094.12 × 1,057.57
  4. Step 4: Simplify right side
    3,395.97x = 5,387,388.49
  5. Step 5: Solve for x
    x = 5,387,388.49/3,395.97
  6. Step 6: Final answer
    x = 1,586.41

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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.