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Finding the Fourth Proportional to 3,433.51, 4,736.50 and 2,299.22

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Solution

The fourth proportional to 3,433.51, 4,736.50 and 2,299.22 is: 3,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.51 : 4,736.50 = 2,299.22 : x
  2. Step 2: Convert to fraction form
    3,433.51/4,736.50 = 2,299.22/x
  3. Step 3: Cross multiply
    3,433.51x = 4,736.50 × 2,299.22
  4. Step 4: Simplify right side
    3,433.51x = 10,890,261.62
  5. Step 5: Solve for x
    x = 10,890,261.62/3,433.51
  6. Step 6: Final answer
    x = 3,171.76

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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.