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Finding the Fourth Proportional to 5,161.14, 7,741.70 and 1,874.22

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Solution

The fourth proportional to 5,161.14, 7,741.70 and 1,874.22 is: 2,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.14 : 7,741.70 = 1,874.22 : x
  2. Step 2: Convert to fraction form
    5,161.14/7,741.70 = 1,874.22/x
  3. Step 3: Cross multiply
    5,161.14x = 7,741.70 × 1,874.22
  4. Step 4: Simplify right side
    5,161.14x = 14,509,648.97
  5. Step 5: Solve for x
    x = 14,509,648.97/5,161.14
  6. Step 6: Final answer
    x = 2,811.33

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Similar ratio
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1.5x scale

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.