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Finding the Fourth Proportional to 5,638.77, 8,459.06 and 1,940.09

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Solution

The fourth proportional to 5,638.77, 8,459.06 and 1,940.09 is: 2,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.77 : 8,459.06 = 1,940.09 : x
  2. Step 2: Convert to fraction form
    5,638.77/8,459.06 = 1,940.09/x
  3. Step 3: Cross multiply
    5,638.77x = 8,459.06 × 1,940.09
  4. Step 4: Simplify right side
    5,638.77x = 16,411,285.72
  5. Step 5: Solve for x
    x = 16,411,285.72/5,638.77
  6. Step 6: Final answer
    x = 2,910.44

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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.