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Finding the Fourth Proportional to 3,881.30, 5,817.79 and 2,030.54

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Solution

The fourth proportional to 3,881.30, 5,817.79 and 2,030.54 is: 3,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.30 : 5,817.79 = 2,030.54 : x
  2. Step 2: Convert to fraction form
    3,881.30/5,817.79 = 2,030.54/x
  3. Step 3: Cross multiply
    3,881.30x = 5,817.79 × 2,030.54
  4. Step 4: Simplify right side
    3,881.30x = 11,813,255.31
  5. Step 5: Solve for x
    x = 11,813,255.31/3,881.30
  6. Step 6: Final answer
    x = 3,043.63

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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.