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Finding the Fourth Proportional to 4,801.44, 6,626.16 and 2,706

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Solution

The fourth proportional to 4,801.44, 6,626.16 and 2,706 is: 3,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.44 : 6,626.16 = 2,706 : x
  2. Step 2: Convert to fraction form
    4,801.44/6,626.16 = 2,706/x
  3. Step 3: Cross multiply
    4,801.44x = 6,626.16 × 2,706
  4. Step 4: Simplify right side
    4,801.44x = 17,930,388.96
  5. Step 5: Solve for x
    x = 17,930,388.96/4,801.44
  6. Step 6: Final answer
    x = 3,734.38

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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.