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Finding the Fourth Proportional to 4,778.78, 7,169.69 and 3,034.65

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Solution

The fourth proportional to 4,778.78, 7,169.69 and 3,034.65 is: 4,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.78 : 7,169.69 = 3,034.65 : x
  2. Step 2: Convert to fraction form
    4,778.78/7,169.69 = 3,034.65/x
  3. Step 3: Cross multiply
    4,778.78x = 7,169.69 × 3,034.65
  4. Step 4: Simplify right side
    4,778.78x = 21,757,484.59
  5. Step 5: Solve for x
    x = 21,757,484.59/4,778.78
  6. Step 6: Final answer
    x = 4,552.94

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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.