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Finding the Fourth Proportional to 5,893.97, 8,838.11 and 3,429.34

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Solution

The fourth proportional to 5,893.97, 8,838.11 and 3,429.34 is: 5,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.97 : 8,838.11 = 3,429.34 : x
  2. Step 2: Convert to fraction form
    5,893.97/8,838.11 = 3,429.34/x
  3. Step 3: Cross multiply
    5,893.97x = 8,838.11 × 3,429.34
  4. Step 4: Simplify right side
    5,893.97x = 30,308,870.63
  5. Step 5: Solve for x
    x = 30,308,870.63/5,893.97
  6. Step 6: Final answer
    x = 5,142.36

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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.