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Finding the Fourth Proportional to 6,476.20, 8,935.62 and 3,683.24

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Solution

The fourth proportional to 6,476.20, 8,935.62 and 3,683.24 is: 5,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.20 : 8,935.62 = 3,683.24 : x
  2. Step 2: Convert to fraction form
    6,476.20/8,935.62 = 3,683.24/x
  3. Step 3: Cross multiply
    6,476.20x = 8,935.62 × 3,683.24
  4. Step 4: Simplify right side
    6,476.20x = 32,912,033.01
  5. Step 5: Solve for x
    x = 32,912,033.01/6,476.20
  6. Step 6: Final answer
    x = 5,082.00

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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.