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Finding the Fourth Proportional to 3,497.49, 5,246.64 and 2,637.27

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Solution

The fourth proportional to 3,497.49, 5,246.64 and 2,637.27 is: 3,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.49 : 5,246.64 = 2,637.27 : x
  2. Step 2: Convert to fraction form
    3,497.49/5,246.64 = 2,637.27/x
  3. Step 3: Cross multiply
    3,497.49x = 5,246.64 × 2,637.27
  4. Step 4: Simplify right side
    3,497.49x = 13,836,806.27
  5. Step 5: Solve for x
    x = 13,836,806.27/3,497.49
  6. Step 6: Final answer
    x = 3,956.21

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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.