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Finding the Fourth Proportional to 4,297.26, 5,930.20 and 2,434.62

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Solution

The fourth proportional to 4,297.26, 5,930.20 and 2,434.62 is: 3,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.26 : 5,930.20 = 2,434.62 : x
  2. Step 2: Convert to fraction form
    4,297.26/5,930.20 = 2,434.62/x
  3. Step 3: Cross multiply
    4,297.26x = 5,930.20 × 2,434.62
  4. Step 4: Simplify right side
    4,297.26x = 14,437,783.52
  5. Step 5: Solve for x
    x = 14,437,783.52/4,297.26
  6. Step 6: Final answer
    x = 3,359.76

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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.