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Finding the Fourth Proportional to 3,523.83, 5,285.73 and 2,072.22

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Solution

The fourth proportional to 3,523.83, 5,285.73 and 2,072.22 is: 3,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.83 : 5,285.73 = 2,072.22 : x
  2. Step 2: Convert to fraction form
    3,523.83/5,285.73 = 2,072.22/x
  3. Step 3: Cross multiply
    3,523.83x = 5,285.73 × 2,072.22
  4. Step 4: Simplify right side
    3,523.83x = 10,953,195.42
  5. Step 5: Solve for x
    x = 10,953,195.42/3,523.83
  6. Step 6: Final answer
    x = 3,108.32

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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.