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Finding the Fourth Proportional to 3,893.45, 5,836.70 and 1,427.69

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Solution

The fourth proportional to 3,893.45, 5,836.70 and 1,427.69 is: 2,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.45 : 5,836.70 = 1,427.69 : x
  2. Step 2: Convert to fraction form
    3,893.45/5,836.70 = 1,427.69/x
  3. Step 3: Cross multiply
    3,893.45x = 5,836.70 × 1,427.69
  4. Step 4: Simplify right side
    3,893.45x = 8,333,020.11
  5. Step 5: Solve for x
    x = 8,333,020.11/3,893.45
  6. Step 6: Final answer
    x = 2,140.27

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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.