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Finding the Fourth Proportional to 3,843.60, 5,764.80 and 1,069.98

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Solution

The fourth proportional to 3,843.60, 5,764.80 and 1,069.98 is: 1,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.60 : 5,764.80 = 1,069.98 : x
  2. Step 2: Convert to fraction form
    3,843.60/5,764.80 = 1,069.98/x
  3. Step 3: Cross multiply
    3,843.60x = 5,764.80 × 1,069.98
  4. Step 4: Simplify right side
    3,843.60x = 6,168,220.70
  5. Step 5: Solve for x
    x = 6,168,220.70/3,843.60
  6. Step 6: Final answer
    x = 1,604.80

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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.