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Finding the Fourth Proportional to 5,588.22, 7,711.72 and 3,035.96

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Solution

The fourth proportional to 5,588.22, 7,711.72 and 3,035.96 is: 4,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.22 : 7,711.72 = 3,035.96 : x
  2. Step 2: Convert to fraction form
    5,588.22/7,711.72 = 3,035.96/x
  3. Step 3: Cross multiply
    5,588.22x = 7,711.72 × 3,035.96
  4. Step 4: Simplify right side
    5,588.22x = 23,412,456.22
  5. Step 5: Solve for x
    x = 23,412,456.22/5,588.22
  6. Step 6: Final answer
    x = 4,189.61

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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.