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Finding the Fourth Proportional to 3,842.26, 5,764.20 and 1,245.40

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Solution

The fourth proportional to 3,842.26, 5,764.20 and 1,245.40 is: 1,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.26 : 5,764.20 = 1,245.40 : x
  2. Step 2: Convert to fraction form
    3,842.26/5,764.20 = 1,245.40/x
  3. Step 3: Cross multiply
    3,842.26x = 5,764.20 × 1,245.40
  4. Step 4: Simplify right side
    3,842.26x = 7,178,734.68
  5. Step 5: Solve for x
    x = 7,178,734.68/3,842.26
  6. Step 6: Final answer
    x = 1,868.36

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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.