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Finding the Fourth Proportional to 5,856.69, 8,783.90 and 3,223.29

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Solution

The fourth proportional to 5,856.69, 8,783.90 and 3,223.29 is: 4,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.69 : 8,783.90 = 3,223.29 : x
  2. Step 2: Convert to fraction form
    5,856.69/8,783.90 = 3,223.29/x
  3. Step 3: Cross multiply
    5,856.69x = 8,783.90 × 3,223.29
  4. Step 4: Simplify right side
    5,856.69x = 28,313,057.03
  5. Step 5: Solve for x
    x = 28,313,057.03/5,856.69
  6. Step 6: Final answer
    x = 4,834.31

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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.