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Finding the Fourth Proportional to 5,366.05, 8,042.19 and 4,203.50

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Solution

The fourth proportional to 5,366.05, 8,042.19 and 4,203.50 is: 6,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.05 : 8,042.19 = 4,203.50 : x
  2. Step 2: Convert to fraction form
    5,366.05/8,042.19 = 4,203.50/x
  3. Step 3: Cross multiply
    5,366.05x = 8,042.19 × 4,203.50
  4. Step 4: Simplify right side
    5,366.05x = 33,805,289.69
  5. Step 5: Solve for x
    x = 33,805,289.69/5,366.05
  6. Step 6: Final answer
    x = 6,299.85

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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.