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Finding the Fourth Proportional to 3,619.28, 5,429.13 and 1,022

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Solution

The fourth proportional to 3,619.28, 5,429.13 and 1,022 is: 1,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.28 : 5,429.13 = 1,022 : x
  2. Step 2: Convert to fraction form
    3,619.28/5,429.13 = 1,022/x
  3. Step 3: Cross multiply
    3,619.28x = 5,429.13 × 1,022
  4. Step 4: Simplify right side
    3,619.28x = 5,548,570.86
  5. Step 5: Solve for x
    x = 5,548,570.86/3,619.28
  6. Step 6: Final answer
    x = 1,533.06

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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.