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Finding the Fourth Proportional to 4,661.05, 6,991.57 and 3,195.76

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Solution

The fourth proportional to 4,661.05, 6,991.57 and 3,195.76 is: 4,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.05 : 6,991.57 = 3,195.76 : x
  2. Step 2: Convert to fraction form
    4,661.05/6,991.57 = 3,195.76/x
  3. Step 3: Cross multiply
    4,661.05x = 6,991.57 × 3,195.76
  4. Step 4: Simplify right side
    4,661.05x = 22,343,379.74
  5. Step 5: Solve for x
    x = 22,343,379.74/4,661.05
  6. Step 6: Final answer
    x = 4,793.64

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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.