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Finding the Fourth Proportional to 4,141.89, 6,213.69 and 1,368.81

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Solution

The fourth proportional to 4,141.89, 6,213.69 and 1,368.81 is: 2,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.89 : 6,213.69 = 1,368.81 : x
  2. Step 2: Convert to fraction form
    4,141.89/6,213.69 = 1,368.81/x
  3. Step 3: Cross multiply
    4,141.89x = 6,213.69 × 1,368.81
  4. Step 4: Simplify right side
    4,141.89x = 8,505,361.01
  5. Step 5: Solve for x
    x = 8,505,361.01/4,141.89
  6. Step 6: Final answer
    x = 2,053.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.