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Finding the Fourth Proportional to 3,876.30, 5,814.03 and 2,026.68

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Solution

The fourth proportional to 3,876.30, 5,814.03 and 2,026.68 is: 3,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.30 : 5,814.03 = 2,026.68 : x
  2. Step 2: Convert to fraction form
    3,876.30/5,814.03 = 2,026.68/x
  3. Step 3: Cross multiply
    3,876.30x = 5,814.03 × 2,026.68
  4. Step 4: Simplify right side
    3,876.30x = 11,783,178.32
  5. Step 5: Solve for x
    x = 11,783,178.32/3,876.30
  6. Step 6: Final answer
    x = 3,039.80

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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.