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Finding the Fourth Proportional to 6,083.50, 8,400.34 and 4,100.62

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Solution

The fourth proportional to 6,083.50, 8,400.34 and 4,100.62 is: 5,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.50 : 8,400.34 = 4,100.62 : x
  2. Step 2: Convert to fraction form
    6,083.50/8,400.34 = 4,100.62/x
  3. Step 3: Cross multiply
    6,083.50x = 8,400.34 × 4,100.62
  4. Step 4: Simplify right side
    6,083.50x = 34,446,602.21
  5. Step 5: Solve for x
    x = 34,446,602.21/6,083.50
  6. Step 6: Final answer
    x = 5,662.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.