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Finding the Fourth Proportional to 4,105.82, 5,704.26 and 4,056.62

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Solution

The fourth proportional to 4,105.82, 5,704.26 and 4,056.62 is: 5,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.82 : 5,704.26 = 4,056.62 : x
  2. Step 2: Convert to fraction form
    4,105.82/5,704.26 = 4,056.62/x
  3. Step 3: Cross multiply
    4,105.82x = 5,704.26 × 4,056.62
  4. Step 4: Simplify right side
    4,105.82x = 23,139,971.47
  5. Step 5: Solve for x
    x = 23,139,971.47/4,105.82
  6. Step 6: Final answer
    x = 5,635.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.