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Finding the Fourth Proportional to 3,574.17, 4,932.39 and 2,002.27

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Solution

The fourth proportional to 3,574.17, 4,932.39 and 2,002.27 is: 2,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.17 : 4,932.39 = 2,002.27 : x
  2. Step 2: Convert to fraction form
    3,574.17/4,932.39 = 2,002.27/x
  3. Step 3: Cross multiply
    3,574.17x = 4,932.39 × 2,002.27
  4. Step 4: Simplify right side
    3,574.17x = 9,875,976.53
  5. Step 5: Solve for x
    x = 9,875,976.53/3,574.17
  6. Step 6: Final answer
    x = 2,763.15

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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.