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Finding the Fourth Proportional to 4,297.22, 5,930.16 and 2,434.22

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Solution

The fourth proportional to 4,297.22, 5,930.16 and 2,434.22 is: 3,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.22 : 5,930.16 = 2,434.22 : x
  2. Step 2: Convert to fraction form
    4,297.22/5,930.16 = 2,434.22/x
  3. Step 3: Cross multiply
    4,297.22x = 5,930.16 × 2,434.22
  4. Step 4: Simplify right side
    4,297.22x = 14,435,284.42
  5. Step 5: Solve for x
    x = 14,435,284.42/4,297.22
  6. Step 6: Final answer
    x = 3,359.22

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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.