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Finding the Fourth Proportional to 5,742.31, 8,613.43 and 1,846.73

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Solution

The fourth proportional to 5,742.31, 8,613.43 and 1,846.73 is: 2,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.31 : 8,613.43 = 1,846.73 : x
  2. Step 2: Convert to fraction form
    5,742.31/8,613.43 = 1,846.73/x
  3. Step 3: Cross multiply
    5,742.31x = 8,613.43 × 1,846.73
  4. Step 4: Simplify right side
    5,742.31x = 15,906,679.58
  5. Step 5: Solve for x
    x = 15,906,679.58/5,742.31
  6. Step 6: Final answer
    x = 2,770.08

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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.