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Finding the Fourth Proportional to 3,758, 5,637.02 and 1,022

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Solution

The fourth proportional to 3,758, 5,637.02 and 1,022 is: 1,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758 : 5,637.02 = 1,022 : x
  2. Step 2: Convert to fraction form
    3,758/5,637.02 = 1,022/x
  3. Step 3: Cross multiply
    3,758x = 5,637.02 × 1,022
  4. Step 4: Simplify right side
    3,758x = 5,761,034.44
  5. Step 5: Solve for x
    x = 5,761,034.44/3,758
  6. Step 6: Final answer
    x = 1,533.01

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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.