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Finding the Fourth Proportional to 4,766.54, 6,578.89 and 2,777.38

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Solution

The fourth proportional to 4,766.54, 6,578.89 and 2,777.38 is: 3,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.54 : 6,578.89 = 2,777.38 : x
  2. Step 2: Convert to fraction form
    4,766.54/6,578.89 = 2,777.38/x
  3. Step 3: Cross multiply
    4,766.54x = 6,578.89 × 2,777.38
  4. Step 4: Simplify right side
    4,766.54x = 18,272,054.12
  5. Step 5: Solve for x
    x = 18,272,054.12/4,766.54
  6. Step 6: Final answer
    x = 3,833.40

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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.