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Finding the Fourth Proportional to 5,599.97, 8,383.73 and 4,219.11

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Solution

The fourth proportional to 5,599.97, 8,383.73 and 4,219.11 is: 6,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.97 : 8,383.73 = 4,219.11 : x
  2. Step 2: Convert to fraction form
    5,599.97/8,383.73 = 4,219.11/x
  3. Step 3: Cross multiply
    5,599.97x = 8,383.73 × 4,219.11
  4. Step 4: Simplify right side
    5,599.97x = 35,371,857.98
  5. Step 5: Solve for x
    x = 35,371,857.98/5,599.97
  6. Step 6: Final answer
    x = 6,316.44

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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.