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Finding the Fourth Proportional to 4,786.08, 6,608.94 and 3,678

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Solution

The fourth proportional to 4,786.08, 6,608.94 and 3,678 is: 5,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.08 : 6,608.94 = 3,678 : x
  2. Step 2: Convert to fraction form
    4,786.08/6,608.94 = 3,678/x
  3. Step 3: Cross multiply
    4,786.08x = 6,608.94 × 3,678
  4. Step 4: Simplify right side
    4,786.08x = 24,307,681.32
  5. Step 5: Solve for x
    x = 24,307,681.32/4,786.08
  6. Step 6: Final answer
    x = 5,078.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.