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Finding the Fourth Proportional to 3,244.29, 4,865.82 and 1,164.21

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Solution

The fourth proportional to 3,244.29, 4,865.82 and 1,164.21 is: 1,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.29 : 4,865.82 = 1,164.21 : x
  2. Step 2: Convert to fraction form
    3,244.29/4,865.82 = 1,164.21/x
  3. Step 3: Cross multiply
    3,244.29x = 4,865.82 × 1,164.21
  4. Step 4: Simplify right side
    3,244.29x = 5,664,836.30
  5. Step 5: Solve for x
    x = 5,664,836.30/3,244.29
  6. Step 6: Final answer
    x = 1,746.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.