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Finding the Fourth Proportional to 4,711.65, 6,499.62 and 3,198.68

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Solution

The fourth proportional to 4,711.65, 6,499.62 and 3,198.68 is: 4,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.65 : 6,499.62 = 3,198.68 : x
  2. Step 2: Convert to fraction form
    4,711.65/6,499.62 = 3,198.68/x
  3. Step 3: Cross multiply
    4,711.65x = 6,499.62 × 3,198.68
  4. Step 4: Simplify right side
    4,711.65x = 20,790,204.50
  5. Step 5: Solve for x
    x = 20,790,204.50/4,711.65
  6. Step 6: Final answer
    x = 4,412.51

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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.