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Finding the Fourth Proportional to 4,968.75, 6,854.90 and 3,201.38

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Solution

The fourth proportional to 4,968.75, 6,854.90 and 3,201.38 is: 4,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.75 : 6,854.90 = 3,201.38 : x
  2. Step 2: Convert to fraction form
    4,968.75/6,854.90 = 3,201.38/x
  3. Step 3: Cross multiply
    4,968.75x = 6,854.90 × 3,201.38
  4. Step 4: Simplify right side
    4,968.75x = 21,945,089.48
  5. Step 5: Solve for x
    x = 21,945,089.48/4,968.75
  6. Step 6: Final answer
    x = 4,416.62

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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.