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Finding the Fourth Proportional to 5,741.82, 8,612.69 and 1,846.23

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Solution

The fourth proportional to 5,741.82, 8,612.69 and 1,846.23 is: 2,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.82 : 8,612.69 = 1,846.23 : x
  2. Step 2: Convert to fraction form
    5,741.82/8,612.69 = 1,846.23/x
  3. Step 3: Cross multiply
    5,741.82x = 8,612.69 × 1,846.23
  4. Step 4: Simplify right side
    5,741.82x = 15,900,997.43
  5. Step 5: Solve for x
    x = 15,900,997.43/5,741.82
  6. Step 6: Final answer
    x = 2,769.33

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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.