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Finding the Fourth Proportional to 5,609.57, 7,741.22 and 3,091.84

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Solution

The fourth proportional to 5,609.57, 7,741.22 and 3,091.84 is: 4,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.57 : 7,741.22 = 3,091.84 : x
  2. Step 2: Convert to fraction form
    5,609.57/7,741.22 = 3,091.84/x
  3. Step 3: Cross multiply
    5,609.57x = 7,741.22 × 3,091.84
  4. Step 4: Simplify right side
    5,609.57x = 23,934,578.83
  5. Step 5: Solve for x
    x = 23,934,578.83/5,609.57
  6. Step 6: Final answer
    x = 4,266.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.