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Finding the Fourth Proportional to 5,190.36, 7,778.86 and 1,899.54

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Solution

The fourth proportional to 5,190.36, 7,778.86 and 1,899.54 is: 2,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.36 : 7,778.86 = 1,899.54 : x
  2. Step 2: Convert to fraction form
    5,190.36/7,778.86 = 1,899.54/x
  3. Step 3: Cross multiply
    5,190.36x = 7,778.86 × 1,899.54
  4. Step 4: Simplify right side
    5,190.36x = 14,776,255.72
  5. Step 5: Solve for x
    x = 14,776,255.72/5,190.36
  6. Step 6: Final answer
    x = 2,846.87

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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.