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Finding the Fourth Proportional to 3,762.71, 5,637.38 and 3,209.27

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Solution

The fourth proportional to 3,762.71, 5,637.38 and 3,209.27 is: 4,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.71 : 5,637.38 = 3,209.27 : x
  2. Step 2: Convert to fraction form
    3,762.71/5,637.38 = 3,209.27/x
  3. Step 3: Cross multiply
    3,762.71x = 5,637.38 × 3,209.27
  4. Step 4: Simplify right side
    3,762.71x = 18,091,872.56
  5. Step 5: Solve for x
    x = 18,091,872.56/3,762.71
  6. Step 6: Final answer
    x = 4,808.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.