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Finding the Fourth Proportional to 3,213.70, 4,793.44 and 2,930.74

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Solution

The fourth proportional to 3,213.70, 4,793.44 and 2,930.74 is: 4,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.70 : 4,793.44 = 2,930.74 : x
  2. Step 2: Convert to fraction form
    3,213.70/4,793.44 = 2,930.74/x
  3. Step 3: Cross multiply
    3,213.70x = 4,793.44 × 2,930.74
  4. Step 4: Simplify right side
    3,213.70x = 14,048,326.35
  5. Step 5: Solve for x
    x = 14,048,326.35/3,213.70
  6. Step 6: Final answer
    x = 4,371.39

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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.