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Finding the Fourth Proportional to 6,478.24, 8,940.38 and 3,683.76

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Solution

The fourth proportional to 6,478.24, 8,940.38 and 3,683.76 is: 5,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.24 : 8,940.38 = 3,683.76 : x
  2. Step 2: Convert to fraction form
    6,478.24/8,940.38 = 3,683.76/x
  3. Step 3: Cross multiply
    6,478.24x = 8,940.38 × 3,683.76
  4. Step 4: Simplify right side
    6,478.24x = 32,934,214.23
  5. Step 5: Solve for x
    x = 32,934,214.23/6,478.24
  6. Step 6: Final answer
    x = 5,083.82

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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.