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Finding the Fourth Proportional to 4,656.75, 6,977.82 and 3,960.54

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Solution

The fourth proportional to 4,656.75, 6,977.82 and 3,960.54 is: 5,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.75 : 6,977.82 = 3,960.54 : x
  2. Step 2: Convert to fraction form
    4,656.75/6,977.82 = 3,960.54/x
  3. Step 3: Cross multiply
    4,656.75x = 6,977.82 × 3,960.54
  4. Step 4: Simplify right side
    4,656.75x = 27,635,935.22
  5. Step 5: Solve for x
    x = 27,635,935.22/4,656.75
  6. Step 6: Final answer
    x = 5,934.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.