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Finding the Fourth Proportional to 5,466.70, 8,200.05 and 1,769.20

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Solution

The fourth proportional to 5,466.70, 8,200.05 and 1,769.20 is: 2,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.70 : 8,200.05 = 1,769.20 : x
  2. Step 2: Convert to fraction form
    5,466.70/8,200.05 = 1,769.20/x
  3. Step 3: Cross multiply
    5,466.70x = 8,200.05 × 1,769.20
  4. Step 4: Simplify right side
    5,466.70x = 14,507,528.46
  5. Step 5: Solve for x
    x = 14,507,528.46/5,466.70
  6. Step 6: Final answer
    x = 2,653.80

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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.