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Finding the Fourth Proportional to 3,822.65, 5,274.02 and 2,228.94

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Solution

The fourth proportional to 3,822.65, 5,274.02 and 2,228.94 is: 3,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.65 : 5,274.02 = 2,228.94 : x
  2. Step 2: Convert to fraction form
    3,822.65/5,274.02 = 2,228.94/x
  3. Step 3: Cross multiply
    3,822.65x = 5,274.02 × 2,228.94
  4. Step 4: Simplify right side
    3,822.65x = 11,755,462.99
  5. Step 5: Solve for x
    x = 11,755,462.99/3,822.65
  6. Step 6: Final answer
    x = 3,075.21

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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.