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Finding the Fourth Proportional to 4,491.69, 6,195.72 and 3,213.19

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Solution

The fourth proportional to 4,491.69, 6,195.72 and 3,213.19 is: 4,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.69 : 6,195.72 = 3,213.19 : x
  2. Step 2: Convert to fraction form
    4,491.69/6,195.72 = 3,213.19/x
  3. Step 3: Cross multiply
    4,491.69x = 6,195.72 × 3,213.19
  4. Step 4: Simplify right side
    4,491.69x = 19,908,025.55
  5. Step 5: Solve for x
    x = 19,908,025.55/4,491.69
  6. Step 6: Final answer
    x = 4,432.19

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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.