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Finding the Fourth Proportional to 3,842.84, 5,764.30 and 1,245.80

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Solution

The fourth proportional to 3,842.84, 5,764.30 and 1,245.80 is: 1,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.84 : 5,764.30 = 1,245.80 : x
  2. Step 2: Convert to fraction form
    3,842.84/5,764.30 = 1,245.80/x
  3. Step 3: Cross multiply
    3,842.84x = 5,764.30 × 1,245.80
  4. Step 4: Simplify right side
    3,842.84x = 7,181,164.94
  5. Step 5: Solve for x
    x = 7,181,164.94/3,842.84
  6. Step 6: Final answer
    x = 1,868.71

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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.