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Finding the Fourth Proportional to 5,609.36, 7,741.36 and 3,091.93

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Solution

The fourth proportional to 5,609.36, 7,741.36 and 3,091.93 is: 4,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.36 : 7,741.36 = 3,091.93 : x
  2. Step 2: Convert to fraction form
    5,609.36/7,741.36 = 3,091.93/x
  3. Step 3: Cross multiply
    5,609.36x = 7,741.36 × 3,091.93
  4. Step 4: Simplify right side
    5,609.36x = 23,935,716.14
  5. Step 5: Solve for x
    x = 23,935,716.14/5,609.36
  6. Step 6: Final answer
    x = 4,267.10

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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.