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Finding the Fourth Proportional to 4,141.54, 6,213.66 and 1,950.49

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Solution

The fourth proportional to 4,141.54, 6,213.66 and 1,950.49 is: 2,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.54 : 6,213.66 = 1,950.49 : x
  2. Step 2: Convert to fraction form
    4,141.54/6,213.66 = 1,950.49/x
  3. Step 3: Cross multiply
    4,141.54x = 6,213.66 × 1,950.49
  4. Step 4: Simplify right side
    4,141.54x = 12,119,681.69
  5. Step 5: Solve for x
    x = 12,119,681.69/4,141.54
  6. Step 6: Final answer
    x = 2,926.37

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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.