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Finding the Fourth Proportional to 3,879.46, 5,818.62 and 1,282.42

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Solution

The fourth proportional to 3,879.46, 5,818.62 and 1,282.42 is: 1,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.46 : 5,818.62 = 1,282.42 : x
  2. Step 2: Convert to fraction form
    3,879.46/5,818.62 = 1,282.42/x
  3. Step 3: Cross multiply
    3,879.46x = 5,818.62 × 1,282.42
  4. Step 4: Simplify right side
    3,879.46x = 7,461,914.66
  5. Step 5: Solve for x
    x = 7,461,914.66/3,879.46
  6. Step 6: Final answer
    x = 1,923.44

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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.