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Finding the Fourth Proportional to 6,188.64, 8,540.31 and 3,394.32

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Solution

The fourth proportional to 6,188.64, 8,540.31 and 3,394.32 is: 4,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.64 : 8,540.31 = 3,394.32 : x
  2. Step 2: Convert to fraction form
    6,188.64/8,540.31 = 3,394.32/x
  3. Step 3: Cross multiply
    6,188.64x = 8,540.31 × 3,394.32
  4. Step 4: Simplify right side
    6,188.64x = 28,988,545.04
  5. Step 5: Solve for x
    x = 28,988,545.04/6,188.64
  6. Step 6: Final answer
    x = 4,684.15

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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.