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Finding the Fourth Proportional to 4,766.88, 6,583.05 and 3,930.42

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Solution

The fourth proportional to 4,766.88, 6,583.05 and 3,930.42 is: 5,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.88 : 6,583.05 = 3,930.42 : x
  2. Step 2: Convert to fraction form
    4,766.88/6,583.05 = 3,930.42/x
  3. Step 3: Cross multiply
    4,766.88x = 6,583.05 × 3,930.42
  4. Step 4: Simplify right side
    4,766.88x = 25,874,151.38
  5. Step 5: Solve for x
    x = 25,874,151.38/4,766.88
  6. Step 6: Final answer
    x = 5,427.90

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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.