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Finding the Fourth Proportional to 4,162.71, 5,744.52 and 2,299.71

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Solution

The fourth proportional to 4,162.71, 5,744.52 and 2,299.71 is: 3,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.71 : 5,744.52 = 2,299.71 : x
  2. Step 2: Convert to fraction form
    4,162.71/5,744.52 = 2,299.71/x
  3. Step 3: Cross multiply
    4,162.71x = 5,744.52 × 2,299.71
  4. Step 4: Simplify right side
    4,162.71x = 13,210,730.09
  5. Step 5: Solve for x
    x = 13,210,730.09/4,162.71
  6. Step 6: Final answer
    x = 3,173.59

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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.