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Finding the Fourth Proportional to 4,922.82, 6,792.99 and 3,034.10

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Solution

The fourth proportional to 4,922.82, 6,792.99 and 3,034.10 is: 4,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.82 : 6,792.99 = 3,034.10 : x
  2. Step 2: Convert to fraction form
    4,922.82/6,792.99 = 3,034.10/x
  3. Step 3: Cross multiply
    4,922.82x = 6,792.99 × 3,034.10
  4. Step 4: Simplify right side
    4,922.82x = 20,610,610.96
  5. Step 5: Solve for x
    x = 20,610,610.96/4,922.82
  6. Step 6: Final answer
    x = 4,186.75

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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.