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Finding the Fourth Proportional to 6,077.92, 8,385.21 and 3,838.95

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Solution

The fourth proportional to 6,077.92, 8,385.21 and 3,838.95 is: 5,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.92 : 8,385.21 = 3,838.95 : x
  2. Step 2: Convert to fraction form
    6,077.92/8,385.21 = 3,838.95/x
  3. Step 3: Cross multiply
    6,077.92x = 8,385.21 × 3,838.95
  4. Step 4: Simplify right side
    6,077.92x = 32,190,401.93
  5. Step 5: Solve for x
    x = 32,190,401.93/6,077.92
  6. Step 6: Final answer
    x = 5,296.29

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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.