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Finding the Fourth Proportional to 4,829.64, 7,247.43 and 3,836.58

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Solution

The fourth proportional to 4,829.64, 7,247.43 and 3,836.58 is: 5,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.64 : 7,247.43 = 3,836.58 : x
  2. Step 2: Convert to fraction form
    4,829.64/7,247.43 = 3,836.58/x
  3. Step 3: Cross multiply
    4,829.64x = 7,247.43 × 3,836.58
  4. Step 4: Simplify right side
    4,829.64x = 27,805,344.99
  5. Step 5: Solve for x
    x = 27,805,344.99/4,829.64
  6. Step 6: Final answer
    x = 5,757.23

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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.