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Finding the Fourth Proportional to 5,609.64, 7,741.01 and 3,091.25

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Solution

The fourth proportional to 5,609.64, 7,741.01 and 3,091.25 is: 4,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.64 : 7,741.01 = 3,091.25 : x
  2. Step 2: Convert to fraction form
    5,609.64/7,741.01 = 3,091.25/x
  3. Step 3: Cross multiply
    5,609.64x = 7,741.01 × 3,091.25
  4. Step 4: Simplify right side
    5,609.64x = 23,929,397.16
  5. Step 5: Solve for x
    x = 23,929,397.16/5,609.64
  6. Step 6: Final answer
    x = 4,265.76

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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.