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Finding the Fourth Proportional to 5,466.99, 8,200.66 and 1,769.24

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Solution

The fourth proportional to 5,466.99, 8,200.66 and 1,769.24 is: 2,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.99 : 8,200.66 = 1,769.24 : x
  2. Step 2: Convert to fraction form
    5,466.99/8,200.66 = 1,769.24/x
  3. Step 3: Cross multiply
    5,466.99x = 8,200.66 × 1,769.24
  4. Step 4: Simplify right side
    5,466.99x = 14,508,951.78
  5. Step 5: Solve for x
    x = 14,508,951.78/5,466.99
  6. Step 6: Final answer
    x = 2,653.92

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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.