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Finding the Fourth Proportional to 5,190.76, 7,786.26 and 1,859.24

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Solution

The fourth proportional to 5,190.76, 7,786.26 and 1,859.24 is: 2,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.76 : 7,786.26 = 1,859.24 : x
  2. Step 2: Convert to fraction form
    5,190.76/7,786.26 = 1,859.24/x
  3. Step 3: Cross multiply
    5,190.76x = 7,786.26 × 1,859.24
  4. Step 4: Simplify right side
    5,190.76x = 14,476,480.14
  5. Step 5: Solve for x
    x = 14,476,480.14/5,190.76
  6. Step 6: Final answer
    x = 2,788.90

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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.