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Finding the Fourth Proportional to 5,243.36, 7,865.52 and 2,644.64

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Solution

The fourth proportional to 5,243.36, 7,865.52 and 2,644.64 is: 3,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.36 : 7,865.52 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    5,243.36/7,865.52 = 2,644.64/x
  3. Step 3: Cross multiply
    5,243.36x = 7,865.52 × 2,644.64
  4. Step 4: Simplify right side
    5,243.36x = 20,801,468.81
  5. Step 5: Solve for x
    x = 20,801,468.81/5,243.36
  6. Step 6: Final answer
    x = 3,967.20

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Why These Related Problems?

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