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Finding the Fourth Proportional to 3,054.74, 4,213.89 and 1,935.27

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Solution

The fourth proportional to 3,054.74, 4,213.89 and 1,935.27 is: 2,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.74 : 4,213.89 = 1,935.27 : x
  2. Step 2: Convert to fraction form
    3,054.74/4,213.89 = 1,935.27/x
  3. Step 3: Cross multiply
    3,054.74x = 4,213.89 × 1,935.27
  4. Step 4: Simplify right side
    3,054.74x = 8,155,014.90
  5. Step 5: Solve for x
    x = 8,155,014.90/3,054.74
  6. Step 6: Final answer
    x = 2,669.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.