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Finding the Fourth Proportional to 5,367.48, 8,051.57 and 1,857.83

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Solution

The fourth proportional to 5,367.48, 8,051.57 and 1,857.83 is: 2,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.48 : 8,051.57 = 1,857.83 : x
  2. Step 2: Convert to fraction form
    5,367.48/8,051.57 = 1,857.83/x
  3. Step 3: Cross multiply
    5,367.48x = 8,051.57 × 1,857.83
  4. Step 4: Simplify right side
    5,367.48x = 14,958,398.75
  5. Step 5: Solve for x
    x = 14,958,398.75/5,367.48
  6. Step 6: Final answer
    x = 2,786.86

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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.