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Finding the Fourth Proportional to 3,411.84, 5,111.28 and 2,022.24

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Solution

The fourth proportional to 3,411.84, 5,111.28 and 2,022.24 is: 3,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.84 : 5,111.28 = 2,022.24 : x
  2. Step 2: Convert to fraction form
    3,411.84/5,111.28 = 2,022.24/x
  3. Step 3: Cross multiply
    3,411.84x = 5,111.28 × 2,022.24
  4. Step 4: Simplify right side
    3,411.84x = 10,336,234.87
  5. Step 5: Solve for x
    x = 10,336,234.87/3,411.84
  6. Step 6: Final answer
    x = 3,029.52

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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.