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Finding the Fourth Proportional to 3,842.24, 5,763.36 and 1,106.24

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Solution

The fourth proportional to 3,842.24, 5,763.36 and 1,106.24 is: 1,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.24 : 5,763.36 = 1,106.24 : x
  2. Step 2: Convert to fraction form
    3,842.24/5,763.36 = 1,106.24/x
  3. Step 3: Cross multiply
    3,842.24x = 5,763.36 × 1,106.24
  4. Step 4: Simplify right side
    3,842.24x = 6,375,659.37
  5. Step 5: Solve for x
    x = 6,375,659.37/3,842.24
  6. Step 6: Final answer
    x = 1,659.36

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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.