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Finding the Fourth Proportional to 5,193.69, 7,785.91 and 1,906.02

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Solution

The fourth proportional to 5,193.69, 7,785.91 and 1,906.02 is: 2,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.69 : 7,785.91 = 1,906.02 : x
  2. Step 2: Convert to fraction form
    5,193.69/7,785.91 = 1,906.02/x
  3. Step 3: Cross multiply
    5,193.69x = 7,785.91 × 1,906.02
  4. Step 4: Simplify right side
    5,193.69x = 14,840,100.18
  5. Step 5: Solve for x
    x = 14,840,100.18/5,193.69
  6. Step 6: Final answer
    x = 2,857.33

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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.