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Finding the Fourth Proportional to 6,083.38, 8,394.98 and 3,431.64

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Solution

The fourth proportional to 6,083.38, 8,394.98 and 3,431.64 is: 4,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.38 : 8,394.98 = 3,431.64 : x
  2. Step 2: Convert to fraction form
    6,083.38/8,394.98 = 3,431.64/x
  3. Step 3: Cross multiply
    6,083.38x = 8,394.98 × 3,431.64
  4. Step 4: Simplify right side
    6,083.38x = 28,808,557.75
  5. Step 5: Solve for x
    x = 28,808,557.75/6,083.38
  6. Step 6: Final answer
    x = 4,735.62

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Why These Related Problems?

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