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Finding the Fourth Proportional to 3,842.86, 5,763.07 and 1,245.19

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Solution

The fourth proportional to 3,842.86, 5,763.07 and 1,245.19 is: 1,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.86 : 5,763.07 = 1,245.19 : x
  2. Step 2: Convert to fraction form
    3,842.86/5,763.07 = 1,245.19/x
  3. Step 3: Cross multiply
    3,842.86x = 5,763.07 × 1,245.19
  4. Step 4: Simplify right side
    3,842.86x = 7,176,099.61
  5. Step 5: Solve for x
    x = 7,176,099.61/3,842.86
  6. Step 6: Final answer
    x = 1,867.39

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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.