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Finding the Fourth Proportional to 4,297.64, 5,930.22 and 2,408.79

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Solution

The fourth proportional to 4,297.64, 5,930.22 and 2,408.79 is: 3,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.64 : 5,930.22 = 2,408.79 : x
  2. Step 2: Convert to fraction form
    4,297.64/5,930.22 = 2,408.79/x
  3. Step 3: Cross multiply
    4,297.64x = 5,930.22 × 2,408.79
  4. Step 4: Simplify right side
    4,297.64x = 14,284,654.63
  5. Step 5: Solve for x
    x = 14,284,654.63/4,297.64
  6. Step 6: Final answer
    x = 3,323.84

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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.