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Finding the Fourth Proportional to 3,687.21, 5,091.79 and 2,363.22

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Solution

The fourth proportional to 3,687.21, 5,091.79 and 2,363.22 is: 3,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.21 : 5,091.79 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    3,687.21/5,091.79 = 2,363.22/x
  3. Step 3: Cross multiply
    3,687.21x = 5,091.79 × 2,363.22
  4. Step 4: Simplify right side
    3,687.21x = 12,033,019.96
  5. Step 5: Solve for x
    x = 12,033,019.96/3,687.21
  6. Step 6: Final answer
    x = 3,263.45

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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.