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Finding the Fourth Proportional to 4,150.29, 6,223.79 and 2,069.55

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Solution

The fourth proportional to 4,150.29, 6,223.79 and 2,069.55 is: 3,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.29 : 6,223.79 = 2,069.55 : x
  2. Step 2: Convert to fraction form
    4,150.29/6,223.79 = 2,069.55/x
  3. Step 3: Cross multiply
    4,150.29x = 6,223.79 × 2,069.55
  4. Step 4: Simplify right side
    4,150.29x = 12,880,434.25
  5. Step 5: Solve for x
    x = 12,880,434.25/4,150.29
  6. Step 6: Final answer
    x = 3,103.50

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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.