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Finding the Fourth Proportional to 3,813.41, 5,262.62 and 2,134.80

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Solution

The fourth proportional to 3,813.41, 5,262.62 and 2,134.80 is: 2,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.41 : 5,262.62 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    3,813.41/5,262.62 = 2,134.80/x
  3. Step 3: Cross multiply
    3,813.41x = 5,262.62 × 2,134.80
  4. Step 4: Simplify right side
    3,813.41x = 11,234,630.50
  5. Step 5: Solve for x
    x = 11,234,630.50/3,813.41
  6. Step 6: Final answer
    x = 2,946.09

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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.