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Finding the Fourth Proportional to 5,865.36, 8,094.38 and 3,213.02

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Solution

The fourth proportional to 5,865.36, 8,094.38 and 3,213.02 is: 4,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.36 : 8,094.38 = 3,213.02 : x
  2. Step 2: Convert to fraction form
    5,865.36/8,094.38 = 3,213.02/x
  3. Step 3: Cross multiply
    5,865.36x = 8,094.38 × 3,213.02
  4. Step 4: Simplify right side
    5,865.36x = 26,007,404.83
  5. Step 5: Solve for x
    x = 26,007,404.83/5,865.36
  6. Step 6: Final answer
    x = 4,434.07

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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.