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Finding the Fourth Proportional to 3,842.83, 5,764.25 and 1,069.80

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Solution

The fourth proportional to 3,842.83, 5,764.25 and 1,069.80 is: 1,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.83 : 5,764.25 = 1,069.80 : x
  2. Step 2: Convert to fraction form
    3,842.83/5,764.25 = 1,069.80/x
  3. Step 3: Cross multiply
    3,842.83x = 5,764.25 × 1,069.80
  4. Step 4: Simplify right side
    3,842.83x = 6,166,594.65
  5. Step 5: Solve for x
    x = 6,166,594.65/3,842.83
  6. Step 6: Final answer
    x = 1,604.70

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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.