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Finding the Fourth Proportional to 4,083.64, 6,126.54 and 1,893.94

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Solution

The fourth proportional to 4,083.64, 6,126.54 and 1,893.94 is: 2,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.64 : 6,126.54 = 1,893.94 : x
  2. Step 2: Convert to fraction form
    4,083.64/6,126.54 = 1,893.94/x
  3. Step 3: Cross multiply
    4,083.64x = 6,126.54 × 1,893.94
  4. Step 4: Simplify right side
    4,083.64x = 11,603,299.17
  5. Step 5: Solve for x
    x = 11,603,299.17/4,083.64
  6. Step 6: Final answer
    x = 2,841.41

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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.