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Finding the Fourth Proportional to 4,883.78, 6,738.08 and 2,993.42

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Solution

The fourth proportional to 4,883.78, 6,738.08 and 2,993.42 is: 4,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.78 : 6,738.08 = 2,993.42 : x
  2. Step 2: Convert to fraction form
    4,883.78/6,738.08 = 2,993.42/x
  3. Step 3: Cross multiply
    4,883.78x = 6,738.08 × 2,993.42
  4. Step 4: Simplify right side
    4,883.78x = 20,169,903.43
  5. Step 5: Solve for x
    x = 20,169,903.43/4,883.78
  6. Step 6: Final answer
    x = 4,129.98

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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.