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Finding the Fourth Proportional to 5,914.78, 8,162.04 and 3,261.64

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Solution

The fourth proportional to 5,914.78, 8,162.04 and 3,261.64 is: 4,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.78 : 8,162.04 = 3,261.64 : x
  2. Step 2: Convert to fraction form
    5,914.78/8,162.04 = 3,261.64/x
  3. Step 3: Cross multiply
    5,914.78x = 8,162.04 × 3,261.64
  4. Step 4: Simplify right side
    5,914.78x = 26,621,636.15
  5. Step 5: Solve for x
    x = 26,621,636.15/5,914.78
  6. Step 6: Final answer
    x = 4,500.87

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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.