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Finding the Fourth Proportional to 3,542.94, 4,889.34 and 2,051.33

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Solution

The fourth proportional to 3,542.94, 4,889.34 and 2,051.33 is: 2,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.94 : 4,889.34 = 2,051.33 : x
  2. Step 2: Convert to fraction form
    3,542.94/4,889.34 = 2,051.33/x
  3. Step 3: Cross multiply
    3,542.94x = 4,889.34 × 2,051.33
  4. Step 4: Simplify right side
    3,542.94x = 10,029,625.38
  5. Step 5: Solve for x
    x = 10,029,625.38/3,542.94
  6. Step 6: Final answer
    x = 2,830.88

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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.