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Finding the Fourth Proportional to 4,868.90, 6,719 and 2,744.43

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Solution

The fourth proportional to 4,868.90, 6,719 and 2,744.43 is: 3,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.90 : 6,719 = 2,744.43 : x
  2. Step 2: Convert to fraction form
    4,868.90/6,719 = 2,744.43/x
  3. Step 3: Cross multiply
    4,868.90x = 6,719 × 2,744.43
  4. Step 4: Simplify right side
    4,868.90x = 18,439,825.17
  5. Step 5: Solve for x
    x = 18,439,825.17/4,868.90
  6. Step 6: Final answer
    x = 3,787.27

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Why These Related Problems?

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