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Finding the Fourth Proportional to 6,478.31, 8,940.01 and 3,683.81

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Solution

The fourth proportional to 6,478.31, 8,940.01 and 3,683.81 is: 5,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.31 : 8,940.01 = 3,683.81 : x
  2. Step 2: Convert to fraction form
    6,478.31/8,940.01 = 3,683.81/x
  3. Step 3: Cross multiply
    6,478.31x = 8,940.01 × 3,683.81
  4. Step 4: Simplify right side
    6,478.31x = 32,933,298.24
  5. Step 5: Solve for x
    x = 32,933,298.24/6,478.31
  6. Step 6: Final answer
    x = 5,083.62

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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.