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Finding the Fourth Proportional to 4,105.85, 5,664 and 3,546.20

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Solution

The fourth proportional to 4,105.85, 5,664 and 3,546.20 is: 4,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.85 : 5,664 = 3,546.20 : x
  2. Step 2: Convert to fraction form
    4,105.85/5,664 = 3,546.20/x
  3. Step 3: Cross multiply
    4,105.85x = 5,664 × 3,546.20
  4. Step 4: Simplify right side
    4,105.85x = 20,085,648.48
  5. Step 5: Solve for x
    x = 20,085,648.48/4,105.85
  6. Step 6: Final answer
    x = 4,891.96

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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.