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Finding the Fourth Proportional to 4,205.94, 6,312.06 and 3,393.96

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Solution

The fourth proportional to 4,205.94, 6,312.06 and 3,393.96 is: 5,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.94 : 6,312.06 = 3,393.96 : x
  2. Step 2: Convert to fraction form
    4,205.94/6,312.06 = 3,393.96/x
  3. Step 3: Cross multiply
    4,205.94x = 6,312.06 × 3,393.96
  4. Step 4: Simplify right side
    4,205.94x = 21,422,879.16
  5. Step 5: Solve for x
    x = 21,422,879.16/4,205.94
  6. Step 6: Final answer
    x = 5,093.48

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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.