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Finding the Fourth Proportional to 4,736.29, 7,104.45 and 1,449.37

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Solution

The fourth proportional to 4,736.29, 7,104.45 and 1,449.37 is: 2,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.29 : 7,104.45 = 1,449.37 : x
  2. Step 2: Convert to fraction form
    4,736.29/7,104.45 = 1,449.37/x
  3. Step 3: Cross multiply
    4,736.29x = 7,104.45 × 1,449.37
  4. Step 4: Simplify right side
    4,736.29x = 10,296,953.50
  5. Step 5: Solve for x
    x = 10,296,953.50/4,736.29
  6. Step 6: Final answer
    x = 2,174.06

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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.