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Finding the Fourth Proportional to 3,925.30, 5,846.04 and 3,879.94

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Solution

The fourth proportional to 3,925.30, 5,846.04 and 3,879.94 is: 5,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.30 : 5,846.04 = 3,879.94 : x
  2. Step 2: Convert to fraction form
    3,925.30/5,846.04 = 3,879.94/x
  3. Step 3: Cross multiply
    3,925.30x = 5,846.04 × 3,879.94
  4. Step 4: Simplify right side
    3,925.30x = 22,682,284.44
  5. Step 5: Solve for x
    x = 22,682,284.44/3,925.30
  6. Step 6: Final answer
    x = 5,778.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.