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Finding the Fourth Proportional to 3,186.48, 4,781.88 and 1,238.43

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Solution

The fourth proportional to 3,186.48, 4,781.88 and 1,238.43 is: 1,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.48 : 4,781.88 = 1,238.43 : x
  2. Step 2: Convert to fraction form
    3,186.48/4,781.88 = 1,238.43/x
  3. Step 3: Cross multiply
    3,186.48x = 4,781.88 × 1,238.43
  4. Step 4: Simplify right side
    3,186.48x = 5,922,023.65
  5. Step 5: Solve for x
    x = 5,922,023.65/3,186.48
  6. Step 6: Final answer
    x = 1,858.48

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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.