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Finding the Fourth Proportional to 3,997.05, 5,516 and 2,228.47

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Solution

The fourth proportional to 3,997.05, 5,516 and 2,228.47 is: 3,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.05 : 5,516 = 2,228.47 : x
  2. Step 2: Convert to fraction form
    3,997.05/5,516 = 2,228.47/x
  3. Step 3: Cross multiply
    3,997.05x = 5,516 × 2,228.47
  4. Step 4: Simplify right side
    3,997.05x = 12,292,240.52
  5. Step 5: Solve for x
    x = 12,292,240.52/3,997.05
  6. Step 6: Final answer
    x = 3,075.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.