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Finding the Fourth Proportional to 3,637.71, 5,022.81 and 3,630.42

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Solution

The fourth proportional to 3,637.71, 5,022.81 and 3,630.42 is: 5,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.71 : 5,022.81 = 3,630.42 : x
  2. Step 2: Convert to fraction form
    3,637.71/5,022.81 = 3,630.42/x
  3. Step 3: Cross multiply
    3,637.71x = 5,022.81 × 3,630.42
  4. Step 4: Simplify right side
    3,637.71x = 18,234,909.88
  5. Step 5: Solve for x
    x = 18,234,909.88/3,637.71
  6. Step 6: Final answer
    x = 5,012.74

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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.