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Finding the Fourth Proportional to 6,084.16, 8,396.16 and 3,289.66

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Solution

The fourth proportional to 6,084.16, 8,396.16 and 3,289.66 is: 4,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.16 : 8,396.16 = 3,289.66 : x
  2. Step 2: Convert to fraction form
    6,084.16/8,396.16 = 3,289.66/x
  3. Step 3: Cross multiply
    6,084.16x = 8,396.16 × 3,289.66
  4. Step 4: Simplify right side
    6,084.16x = 27,620,511.71
  5. Step 5: Solve for x
    x = 27,620,511.71/6,084.16
  6. Step 6: Final answer
    x = 4,539.74

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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.