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Finding the Fourth Proportional to 4,522.02, 6,796.41 and 3,747

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Solution

The fourth proportional to 4,522.02, 6,796.41 and 3,747 is: 5,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.02 : 6,796.41 = 3,747 : x
  2. Step 2: Convert to fraction form
    4,522.02/6,796.41 = 3,747/x
  3. Step 3: Cross multiply
    4,522.02x = 6,796.41 × 3,747
  4. Step 4: Simplify right side
    4,522.02x = 25,466,148.27
  5. Step 5: Solve for x
    x = 25,466,148.27/4,522.02
  6. Step 6: Final answer
    x = 5,631.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.