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Finding the Fourth Proportional to 5,969.64, 8,235.90 and 3,873

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Solution

The fourth proportional to 5,969.64, 8,235.90 and 3,873 is: 5,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.64 : 8,235.90 = 3,873 : x
  2. Step 2: Convert to fraction form
    5,969.64/8,235.90 = 3,873/x
  3. Step 3: Cross multiply
    5,969.64x = 8,235.90 × 3,873
  4. Step 4: Simplify right side
    5,969.64x = 31,897,640.70
  5. Step 5: Solve for x
    x = 31,897,640.70/5,969.64
  6. Step 6: Final answer
    x = 5,343.31

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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.