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Finding the Fourth Proportional to 5,608.42, 8,419 and 2,838.22

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Solution

The fourth proportional to 5,608.42, 8,419 and 2,838.22 is: 4,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.42 : 8,419 = 2,838.22 : x
  2. Step 2: Convert to fraction form
    5,608.42/8,419 = 2,838.22/x
  3. Step 3: Cross multiply
    5,608.42x = 8,419 × 2,838.22
  4. Step 4: Simplify right side
    5,608.42x = 23,894,974.18
  5. Step 5: Solve for x
    x = 23,894,974.18/5,608.42
  6. Step 6: Final answer
    x = 4,260.55

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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.