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Finding the Fourth Proportional to 4,736.17, 7,107.93 and 3,813.99

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Solution

The fourth proportional to 4,736.17, 7,107.93 and 3,813.99 is: 5,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.17 : 7,107.93 = 3,813.99 : x
  2. Step 2: Convert to fraction form
    4,736.17/7,107.93 = 3,813.99/x
  3. Step 3: Cross multiply
    4,736.17x = 7,107.93 × 3,813.99
  4. Step 4: Simplify right side
    4,736.17x = 27,109,519.33
  5. Step 5: Solve for x
    x = 27,109,519.33/4,736.17
  6. Step 6: Final answer
    x = 5,723.93

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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.