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Finding the Fourth Proportional to 3,574.97, 4,933.17 and 2,002.85

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Solution

The fourth proportional to 3,574.97, 4,933.17 and 2,002.85 is: 2,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.97 : 4,933.17 = 2,002.85 : x
  2. Step 2: Convert to fraction form
    3,574.97/4,933.17 = 2,002.85/x
  3. Step 3: Cross multiply
    3,574.97x = 4,933.17 × 2,002.85
  4. Step 4: Simplify right side
    3,574.97x = 9,880,399.53
  5. Step 5: Solve for x
    x = 9,880,399.53/3,574.97
  6. Step 6: Final answer
    x = 2,763.77

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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.