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Finding the Fourth Proportional to 3,792.08, 5,689.50 and 1,327.27

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Solution

The fourth proportional to 3,792.08, 5,689.50 and 1,327.27 is: 1,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.08 : 5,689.50 = 1,327.27 : x
  2. Step 2: Convert to fraction form
    3,792.08/5,689.50 = 1,327.27/x
  3. Step 3: Cross multiply
    3,792.08x = 5,689.50 × 1,327.27
  4. Step 4: Simplify right side
    3,792.08x = 7,551,502.67
  5. Step 5: Solve for x
    x = 7,551,502.67/3,792.08
  6. Step 6: Final answer
    x = 1,991.39

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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.