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Finding the Fourth Proportional to 5,914.62, 8,856.14 and 5,213.97

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Solution

The fourth proportional to 5,914.62, 8,856.14 and 5,213.97 is: 7,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.62 : 8,856.14 = 5,213.97 : x
  2. Step 2: Convert to fraction form
    5,914.62/8,856.14 = 5,213.97/x
  3. Step 3: Cross multiply
    5,914.62x = 8,856.14 × 5,213.97
  4. Step 4: Simplify right side
    5,914.62x = 46,175,622.21
  5. Step 5: Solve for x
    x = 46,175,622.21/5,914.62
  6. Step 6: Final answer
    x = 7,807.03

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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.