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Finding the Fourth Proportional to 4,509.69, 6,765.90 and 3,195.98

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Solution

The fourth proportional to 4,509.69, 6,765.90 and 3,195.98 is: 4,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.69 : 6,765.90 = 3,195.98 : x
  2. Step 2: Convert to fraction form
    4,509.69/6,765.90 = 3,195.98/x
  3. Step 3: Cross multiply
    4,509.69x = 6,765.90 × 3,195.98
  4. Step 4: Simplify right side
    4,509.69x = 21,623,660.64
  5. Step 5: Solve for x
    x = 21,623,660.64/4,509.69
  6. Step 6: Final answer
    x = 4,794.94

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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.