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Finding the Fourth Proportional to 3,883.21, 5,349.71 and 3,410.30

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Solution

The fourth proportional to 3,883.21, 5,349.71 and 3,410.30 is: 4,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.21 : 5,349.71 = 3,410.30 : x
  2. Step 2: Convert to fraction form
    3,883.21/5,349.71 = 3,410.30/x
  3. Step 3: Cross multiply
    3,883.21x = 5,349.71 × 3,410.30
  4. Step 4: Simplify right side
    3,883.21x = 18,244,137.91
  5. Step 5: Solve for x
    x = 18,244,137.91/3,883.21
  6. Step 6: Final answer
    x = 4,698.21

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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.