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Finding the Fourth Proportional to 4,162.63, 5,744.42 and 2,299.63

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Solution

The fourth proportional to 4,162.63, 5,744.42 and 2,299.63 is: 3,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.63 : 5,744.42 = 2,299.63 : x
  2. Step 2: Convert to fraction form
    4,162.63/5,744.42 = 2,299.63/x
  3. Step 3: Cross multiply
    4,162.63x = 5,744.42 × 2,299.63
  4. Step 4: Simplify right side
    4,162.63x = 13,210,040.56
  5. Step 5: Solve for x
    x = 13,210,040.56/4,162.63
  6. Step 6: Final answer
    x = 3,173.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.