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Finding the Fourth Proportional to 4,509.69, 6,760.94 and 2,287.37

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Solution

The fourth proportional to 4,509.69, 6,760.94 and 2,287.37 is: 3,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.69 : 6,760.94 = 2,287.37 : x
  2. Step 2: Convert to fraction form
    4,509.69/6,760.94 = 2,287.37/x
  3. Step 3: Cross multiply
    4,509.69x = 6,760.94 × 2,287.37
  4. Step 4: Simplify right side
    4,509.69x = 15,464,726.09
  5. Step 5: Solve for x
    x = 15,464,726.09/4,509.69
  6. Step 6: Final answer
    x = 3,429.22

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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.