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Finding the Fourth Proportional to 4,604.85, 6,908.63 and 2,141.14

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Solution

The fourth proportional to 4,604.85, 6,908.63 and 2,141.14 is: 3,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.85 : 6,908.63 = 2,141.14 : x
  2. Step 2: Convert to fraction form
    4,604.85/6,908.63 = 2,141.14/x
  3. Step 3: Cross multiply
    4,604.85x = 6,908.63 × 2,141.14
  4. Step 4: Simplify right side
    4,604.85x = 14,792,344.04
  5. Step 5: Solve for x
    x = 14,792,344.04/4,604.85
  6. Step 6: Final answer
    x = 3,212.34

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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.