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Finding the Fourth Proportional to 3,741.46, 5,161.25 and 2,855.72

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Solution

The fourth proportional to 3,741.46, 5,161.25 and 2,855.72 is: 3,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.46 : 5,161.25 = 2,855.72 : x
  2. Step 2: Convert to fraction form
    3,741.46/5,161.25 = 2,855.72/x
  3. Step 3: Cross multiply
    3,741.46x = 5,161.25 × 2,855.72
  4. Step 4: Simplify right side
    3,741.46x = 14,739,104.89
  5. Step 5: Solve for x
    x = 14,739,104.89/3,741.46
  6. Step 6: Final answer
    x = 3,939.40

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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.