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Finding the Fourth Proportional to 5,609.57, 7,741.29 and 3,091.88

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Solution

The fourth proportional to 5,609.57, 7,741.29 and 3,091.88 is: 4,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.57 : 7,741.29 = 3,091.88 : x
  2. Step 2: Convert to fraction form
    5,609.57/7,741.29 = 3,091.88/x
  3. Step 3: Cross multiply
    5,609.57x = 7,741.29 × 3,091.88
  4. Step 4: Simplify right side
    5,609.57x = 23,935,101.02
  5. Step 5: Solve for x
    x = 23,935,101.02/5,609.57
  6. Step 6: Final answer
    x = 4,266.84

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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.