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Finding the Fourth Proportional to 3,212.14, 4,794.77 and 2,977.78

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Solution

The fourth proportional to 3,212.14, 4,794.77 and 2,977.78 is: 4,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.14 : 4,794.77 = 2,977.78 : x
  2. Step 2: Convert to fraction form
    3,212.14/4,794.77 = 2,977.78/x
  3. Step 3: Cross multiply
    3,212.14x = 4,794.77 × 2,977.78
  4. Step 4: Simplify right side
    3,212.14x = 14,277,770.21
  5. Step 5: Solve for x
    x = 14,277,770.21/3,212.14
  6. Step 6: Final answer
    x = 4,444.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.