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Finding the Fourth Proportional to 5,650.94, 7,798.40 and 3,293.24

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Solution

The fourth proportional to 5,650.94, 7,798.40 and 3,293.24 is: 4,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.94 : 7,798.40 = 3,293.24 : x
  2. Step 2: Convert to fraction form
    5,650.94/7,798.40 = 3,293.24/x
  3. Step 3: Cross multiply
    5,650.94x = 7,798.40 × 3,293.24
  4. Step 4: Simplify right side
    5,650.94x = 25,682,002.82
  5. Step 5: Solve for x
    x = 25,682,002.82/5,650.94
  6. Step 6: Final answer
    x = 4,544.73

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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.