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Finding the Fourth Proportional to 4,846.85, 6,684.06 and 3,169.70

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Solution

The fourth proportional to 4,846.85, 6,684.06 and 3,169.70 is: 4,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.85 : 6,684.06 = 3,169.70 : x
  2. Step 2: Convert to fraction form
    4,846.85/6,684.06 = 3,169.70/x
  3. Step 3: Cross multiply
    4,846.85x = 6,684.06 × 3,169.70
  4. Step 4: Simplify right side
    4,846.85x = 21,186,464.98
  5. Step 5: Solve for x
    x = 21,186,464.98/4,846.85
  6. Step 6: Final answer
    x = 4,371.18

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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.