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Finding the Fourth Proportional to 4,736.67, 7,108.67 and 3,814.49

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Solution

The fourth proportional to 4,736.67, 7,108.67 and 3,814.49 is: 5,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.67 : 7,108.67 = 3,814.49 : x
  2. Step 2: Convert to fraction form
    4,736.67/7,108.67 = 3,814.49/x
  3. Step 3: Cross multiply
    4,736.67x = 7,108.67 × 3,814.49
  4. Step 4: Simplify right side
    4,736.67x = 27,115,950.63
  5. Step 5: Solve for x
    x = 27,115,950.63/4,736.67
  6. Step 6: Final answer
    x = 5,724.69

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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.