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Finding the Fourth Proportional to 4,921.67, 6,794.33 and 3,410.38

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Solution

The fourth proportional to 4,921.67, 6,794.33 and 3,410.38 is: 4,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.67 : 6,794.33 = 3,410.38 : x
  2. Step 2: Convert to fraction form
    4,921.67/6,794.33 = 3,410.38/x
  3. Step 3: Cross multiply
    4,921.67x = 6,794.33 × 3,410.38
  4. Step 4: Simplify right side
    4,921.67x = 23,171,247.15
  5. Step 5: Solve for x
    x = 23,171,247.15/4,921.67
  6. Step 6: Final answer
    x = 4,708.01

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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.