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Finding the Fourth Proportional to 5,893.86, 8,133.12 and 3,375.84

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Solution

The fourth proportional to 5,893.86, 8,133.12 and 3,375.84 is: 4,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.86 : 8,133.12 = 3,375.84 : x
  2. Step 2: Convert to fraction form
    5,893.86/8,133.12 = 3,375.84/x
  3. Step 3: Cross multiply
    5,893.86x = 8,133.12 × 3,375.84
  4. Step 4: Simplify right side
    5,893.86x = 27,456,111.82
  5. Step 5: Solve for x
    x = 27,456,111.82/5,893.86
  6. Step 6: Final answer
    x = 4,658.43

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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.