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Finding the Fourth Proportional to 4,890, 6,724.98 and 3,883.44

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Solution

The fourth proportional to 4,890, 6,724.98 and 3,883.44 is: 5,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890 : 6,724.98 = 3,883.44 : x
  2. Step 2: Convert to fraction form
    4,890/6,724.98 = 3,883.44/x
  3. Step 3: Cross multiply
    4,890x = 6,724.98 × 3,883.44
  4. Step 4: Simplify right side
    4,890x = 26,116,056.33
  5. Step 5: Solve for x
    x = 26,116,056.33/4,890
  6. Step 6: Final answer
    x = 5,340.71

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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.