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Finding the Fourth Proportional to 4,321.85, 5,964.29 and 2,644.00

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Solution

The fourth proportional to 4,321.85, 5,964.29 and 2,644.00 is: 3,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.85 : 5,964.29 = 2,644.00 : x
  2. Step 2: Convert to fraction form
    4,321.85/5,964.29 = 2,644.00/x
  3. Step 3: Cross multiply
    4,321.85x = 5,964.29 × 2,644.00
  4. Step 4: Simplify right side
    4,321.85x = 15,769,564.54
  5. Step 5: Solve for x
    x = 15,769,564.54/4,321.85
  6. Step 6: Final answer
    x = 3,648.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.