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Finding the Fourth Proportional to 3,751.29, 5,161.83 and 3,637.15

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Solution

The fourth proportional to 3,751.29, 5,161.83 and 3,637.15 is: 5,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.29 : 5,161.83 = 3,637.15 : x
  2. Step 2: Convert to fraction form
    3,751.29/5,161.83 = 3,637.15/x
  3. Step 3: Cross multiply
    3,751.29x = 5,161.83 × 3,637.15
  4. Step 4: Simplify right side
    3,751.29x = 18,774,370.08
  5. Step 5: Solve for x
    x = 18,774,370.08/3,751.29
  6. Step 6: Final answer
    x = 5,004.78

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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.