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Finding the Fourth Proportional to 3,491.52, 5,230.36 and 2,105.22

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Solution

The fourth proportional to 3,491.52, 5,230.36 and 2,105.22 is: 3,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.52 : 5,230.36 = 2,105.22 : x
  2. Step 2: Convert to fraction form
    3,491.52/5,230.36 = 2,105.22/x
  3. Step 3: Cross multiply
    3,491.52x = 5,230.36 × 2,105.22
  4. Step 4: Simplify right side
    3,491.52x = 11,011,058.48
  5. Step 5: Solve for x
    x = 11,011,058.48/3,491.52
  6. Step 6: Final answer
    x = 3,153.66

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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.