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Finding the Fourth Proportional to 4,552.78, 6,825.24 and 1,778.80

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Solution

The fourth proportional to 4,552.78, 6,825.24 and 1,778.80 is: 2,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.78 : 6,825.24 = 1,778.80 : x
  2. Step 2: Convert to fraction form
    4,552.78/6,825.24 = 1,778.80/x
  3. Step 3: Cross multiply
    4,552.78x = 6,825.24 × 1,778.80
  4. Step 4: Simplify right side
    4,552.78x = 12,140,736.91
  5. Step 5: Solve for x
    x = 12,140,736.91/4,552.78
  6. Step 6: Final answer
    x = 2,666.66

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