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Finding the Fourth Proportional to 3,344.14, 5,014.52 and 1,957.91

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Solution

The fourth proportional to 3,344.14, 5,014.52 and 1,957.91 is: 2,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.14 : 5,014.52 = 1,957.91 : x
  2. Step 2: Convert to fraction form
    3,344.14/5,014.52 = 1,957.91/x
  3. Step 3: Cross multiply
    3,344.14x = 5,014.52 × 1,957.91
  4. Step 4: Simplify right side
    3,344.14x = 9,817,969.06
  5. Step 5: Solve for x
    x = 9,817,969.06/3,344.14
  6. Step 6: Final answer
    x = 2,935.88

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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.