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Finding the Fourth Proportional to 5,415.99, 8,126.21 and 2,782.18

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Solution

The fourth proportional to 5,415.99, 8,126.21 and 2,782.18 is: 4,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.99 : 8,126.21 = 2,782.18 : x
  2. Step 2: Convert to fraction form
    5,415.99/8,126.21 = 2,782.18/x
  3. Step 3: Cross multiply
    5,415.99x = 8,126.21 × 2,782.18
  4. Step 4: Simplify right side
    5,415.99x = 22,608,578.94
  5. Step 5: Solve for x
    x = 22,608,578.94/5,415.99
  6. Step 6: Final answer
    x = 4,174.41

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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.