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Finding the Fourth Proportional to 5,609.52, 7,741.14 and 3,091.62

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Solution

The fourth proportional to 5,609.52, 7,741.14 and 3,091.62 is: 4,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.52 : 7,741.14 = 3,091.62 : x
  2. Step 2: Convert to fraction form
    5,609.52/7,741.14 = 3,091.62/x
  3. Step 3: Cross multiply
    5,609.52x = 7,741.14 × 3,091.62
  4. Step 4: Simplify right side
    5,609.52x = 23,932,680.68
  5. Step 5: Solve for x
    x = 23,932,680.68/5,609.52
  6. Step 6: Final answer
    x = 4,266.44

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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.