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Finding the Fourth Proportional to 5,865.69, 8,094.56 and 3,213.04

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Solution

The fourth proportional to 5,865.69, 8,094.56 and 3,213.04 is: 4,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.69 : 8,094.56 = 3,213.04 : x
  2. Step 2: Convert to fraction form
    5,865.69/8,094.56 = 3,213.04/x
  3. Step 3: Cross multiply
    5,865.69x = 8,094.56 × 3,213.04
  4. Step 4: Simplify right side
    5,865.69x = 26,008,145.06
  5. Step 5: Solve for x
    x = 26,008,145.06/5,865.69
  6. Step 6: Final answer
    x = 4,433.94

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1.5x scale

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.