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Finding the Fourth Proportional to 3,786.98, 5,226.45 and 3,363.98

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Solution

The fourth proportional to 3,786.98, 5,226.45 and 3,363.98 is: 4,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.98 : 5,226.45 = 3,363.98 : x
  2. Step 2: Convert to fraction form
    3,786.98/5,226.45 = 3,363.98/x
  3. Step 3: Cross multiply
    3,786.98x = 5,226.45 × 3,363.98
  4. Step 4: Simplify right side
    3,786.98x = 17,581,673.27
  5. Step 5: Solve for x
    x = 17,581,673.27/3,786.98
  6. Step 6: Final answer
    x = 4,642.66

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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.