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Finding the Fourth Proportional to 3,574.21, 4,933 and 2,083

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Solution

The fourth proportional to 3,574.21, 4,933 and 2,083 is: 2,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.21 : 4,933 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,574.21/4,933 = 2,083/x
  3. Step 3: Cross multiply
    3,574.21x = 4,933 × 2,083
  4. Step 4: Simplify right side
    3,574.21x = 10,275,439
  5. Step 5: Solve for x
    x = 10,275,439/3,574.21
  6. Step 6: Final answer
    x = 2,874.88

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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.