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Finding the Fourth Proportional to 3,842.44, 5,763.66 and 1,245.38

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Solution

The fourth proportional to 3,842.44, 5,763.66 and 1,245.38 is: 1,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,763.66 = 1,245.38 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,763.66 = 1,245.38/x
  3. Step 3: Cross multiply
    3,842.44x = 5,763.66 × 1,245.38
  4. Step 4: Simplify right side
    3,842.44x = 7,177,913.40
  5. Step 5: Solve for x
    x = 7,177,913.40/3,842.44
  6. Step 6: Final answer
    x = 1,868.06

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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.