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Finding the Fourth Proportional to 3,396.16, 5,084.16 and 2,075.96

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Solution

The fourth proportional to 3,396.16, 5,084.16 and 2,075.96 is: 3,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.16 : 5,084.16 = 2,075.96 : x
  2. Step 2: Convert to fraction form
    3,396.16/5,084.16 = 2,075.96/x
  3. Step 3: Cross multiply
    3,396.16x = 5,084.16 × 2,075.96
  4. Step 4: Simplify right side
    3,396.16x = 10,554,512.79
  5. Step 5: Solve for x
    x = 10,554,512.79/3,396.16
  6. Step 6: Final answer
    x = 3,107.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.