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Finding the Fourth Proportional to 6,478.35, 8,940.11 and 3,683.85

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Solution

The fourth proportional to 6,478.35, 8,940.11 and 3,683.85 is: 5,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.35 : 8,940.11 = 3,683.85 : x
  2. Step 2: Convert to fraction form
    6,478.35/8,940.11 = 3,683.85/x
  3. Step 3: Cross multiply
    6,478.35x = 8,940.11 × 3,683.85
  4. Step 4: Simplify right side
    6,478.35x = 32,934,005.80
  5. Step 5: Solve for x
    x = 32,934,005.80/6,478.35
  6. Step 6: Final answer
    x = 5,083.70

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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.