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Finding the Fourth Proportional to 3,395.14, 5,092.80 and 1,086.64

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Solution

The fourth proportional to 3,395.14, 5,092.80 and 1,086.64 is: 1,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.14 : 5,092.80 = 1,086.64 : x
  2. Step 2: Convert to fraction form
    3,395.14/5,092.80 = 1,086.64/x
  3. Step 3: Cross multiply
    3,395.14x = 5,092.80 × 1,086.64
  4. Step 4: Simplify right side
    3,395.14x = 5,534,040.19
  5. Step 5: Solve for x
    x = 5,534,040.19/3,395.14
  6. Step 6: Final answer
    x = 1,629.99

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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.