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Finding the Fourth Proportional to 3,435.84, 5,156.16 and 2,138.24

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Solution

The fourth proportional to 3,435.84, 5,156.16 and 2,138.24 is: 3,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.84 : 5,156.16 = 2,138.24 : x
  2. Step 2: Convert to fraction form
    3,435.84/5,156.16 = 2,138.24/x
  3. Step 3: Cross multiply
    3,435.84x = 5,156.16 × 2,138.24
  4. Step 4: Simplify right side
    3,435.84x = 11,025,107.56
  5. Step 5: Solve for x
    x = 11,025,107.56/3,435.84
  6. Step 6: Final answer
    x = 3,208.85

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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.