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Finding the Fourth Proportional to 4,945.44, 7,412.39 and 4,022.65

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Solution

The fourth proportional to 4,945.44, 7,412.39 and 4,022.65 is: 6,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.44 : 7,412.39 = 4,022.65 : x
  2. Step 2: Convert to fraction form
    4,945.44/7,412.39 = 4,022.65/x
  3. Step 3: Cross multiply
    4,945.44x = 7,412.39 × 4,022.65
  4. Step 4: Simplify right side
    4,945.44x = 29,817,450.63
  5. Step 5: Solve for x
    x = 29,817,450.63/4,945.44
  6. Step 6: Final answer
    x = 6,029.28

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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.