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Finding the Fourth Proportional to 5,705.93, 8,553.06 and 3,857.22

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Solution

The fourth proportional to 5,705.93, 8,553.06 and 3,857.22 is: 5,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.93 : 8,553.06 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    5,705.93/8,553.06 = 3,857.22/x
  3. Step 3: Cross multiply
    5,705.93x = 8,553.06 × 3,857.22
  4. Step 4: Simplify right side
    5,705.93x = 32,991,034.09
  5. Step 5: Solve for x
    x = 32,991,034.09/5,705.93
  6. Step 6: Final answer
    x = 5,781.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.