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Finding the Fourth Proportional to 4,146.87, 6,213.81 and 2,604.63

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Solution

The fourth proportional to 4,146.87, 6,213.81 and 2,604.63 is: 3,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.87 : 6,213.81 = 2,604.63 : x
  2. Step 2: Convert to fraction form
    4,146.87/6,213.81 = 2,604.63/x
  3. Step 3: Cross multiply
    4,146.87x = 6,213.81 × 2,604.63
  4. Step 4: Simplify right side
    4,146.87x = 16,184,675.94
  5. Step 5: Solve for x
    x = 16,184,675.94/4,146.87
  6. Step 6: Final answer
    x = 3,902.87

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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.