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Finding the Fourth Proportional to 4,322.26, 5,965.24 and 2,434.54

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Solution

The fourth proportional to 4,322.26, 5,965.24 and 2,434.54 is: 3,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.26 : 5,965.24 = 2,434.54 : x
  2. Step 2: Convert to fraction form
    4,322.26/5,965.24 = 2,434.54/x
  3. Step 3: Cross multiply
    4,322.26x = 5,965.24 × 2,434.54
  4. Step 4: Simplify right side
    4,322.26x = 14,522,615.39
  5. Step 5: Solve for x
    x = 14,522,615.39/4,322.26
  6. Step 6: Final answer
    x = 3,359.96

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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.