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Finding the Fourth Proportional to 5,609.99, 7,741.74 and 3,092.21

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Solution

The fourth proportional to 5,609.99, 7,741.74 and 3,092.21 is: 4,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.99 : 7,741.74 = 3,092.21 : x
  2. Step 2: Convert to fraction form
    5,609.99/7,741.74 = 3,092.21/x
  3. Step 3: Cross multiply
    5,609.99x = 7,741.74 × 3,092.21
  4. Step 4: Simplify right side
    5,609.99x = 23,939,047.14
  5. Step 5: Solve for x
    x = 23,939,047.14/5,609.99
  6. Step 6: Final answer
    x = 4,267.22

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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.