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Finding the Fourth Proportional to 3,842.26, 5,763.40 and 1,106.26

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Solution

The fourth proportional to 3,842.26, 5,763.40 and 1,106.26 is: 1,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.26 : 5,763.40 = 1,106.26 : x
  2. Step 2: Convert to fraction form
    3,842.26/5,763.40 = 1,106.26/x
  3. Step 3: Cross multiply
    3,842.26x = 5,763.40 × 1,106.26
  4. Step 4: Simplify right side
    3,842.26x = 6,375,818.88
  5. Step 5: Solve for x
    x = 6,375,818.88/3,842.26
  6. Step 6: Final answer
    x = 1,659.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.