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Finding the Fourth Proportional to 4,908.26, 6,770.38 and 2,917.46

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Solution

The fourth proportional to 4,908.26, 6,770.38 and 2,917.46 is: 4,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.26 : 6,770.38 = 2,917.46 : x
  2. Step 2: Convert to fraction form
    4,908.26/6,770.38 = 2,917.46/x
  3. Step 3: Cross multiply
    4,908.26x = 6,770.38 × 2,917.46
  4. Step 4: Simplify right side
    4,908.26x = 19,752,271.69
  5. Step 5: Solve for x
    x = 19,752,271.69/4,908.26
  6. Step 6: Final answer
    x = 4,024.30

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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.