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Finding the Fourth Proportional to 5,874.70, 8,106.94 and 3,185.77

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Solution

The fourth proportional to 5,874.70, 8,106.94 and 3,185.77 is: 4,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.70 : 8,106.94 = 3,185.77 : x
  2. Step 2: Convert to fraction form
    5,874.70/8,106.94 = 3,185.77/x
  3. Step 3: Cross multiply
    5,874.70x = 8,106.94 × 3,185.77
  4. Step 4: Simplify right side
    5,874.70x = 25,826,846.24
  5. Step 5: Solve for x
    x = 25,826,846.24/5,874.70
  6. Step 6: Final answer
    x = 4,396.28

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