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Finding the Fourth Proportional to 3,574.66, 4,932.97 and 1,981.31

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Solution

The fourth proportional to 3,574.66, 4,932.97 and 1,981.31 is: 2,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.66 : 4,932.97 = 1,981.31 : x
  2. Step 2: Convert to fraction form
    3,574.66/4,932.97 = 1,981.31/x
  3. Step 3: Cross multiply
    3,574.66x = 4,932.97 × 1,981.31
  4. Step 4: Simplify right side
    3,574.66x = 9,773,723.08
  5. Step 5: Solve for x
    x = 9,773,723.08/3,574.66
  6. Step 6: Final answer
    x = 2,734.17

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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.