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Finding the Fourth Proportional to 5,609.58, 7,741.18 and 3,091.69

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Solution

The fourth proportional to 5,609.58, 7,741.18 and 3,091.69 is: 4,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.58 : 7,741.18 = 3,091.69 : x
  2. Step 2: Convert to fraction form
    5,609.58/7,741.18 = 3,091.69/x
  3. Step 3: Cross multiply
    5,609.58x = 7,741.18 × 3,091.69
  4. Step 4: Simplify right side
    5,609.58x = 23,933,313.34
  5. Step 5: Solve for x
    x = 23,933,313.34/5,609.58
  6. Step 6: Final answer
    x = 4,266.51

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