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Finding the Fourth Proportional to 4,778.60, 7,151.49 and 3,794.45

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Solution

The fourth proportional to 4,778.60, 7,151.49 and 3,794.45 is: 5,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.60 : 7,151.49 = 3,794.45 : x
  2. Step 2: Convert to fraction form
    4,778.60/7,151.49 = 3,794.45/x
  3. Step 3: Cross multiply
    4,778.60x = 7,151.49 × 3,794.45
  4. Step 4: Simplify right side
    4,778.60x = 27,135,935.47
  5. Step 5: Solve for x
    x = 27,135,935.47/4,778.60
  6. Step 6: Final answer
    x = 5,678.64

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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.