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Finding the Fourth Proportional to 3,804.66, 5,692.38 and 2,161.98

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Solution

The fourth proportional to 3,804.66, 5,692.38 and 2,161.98 is: 3,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.66 : 5,692.38 = 2,161.98 : x
  2. Step 2: Convert to fraction form
    3,804.66/5,692.38 = 2,161.98/x
  3. Step 3: Cross multiply
    3,804.66x = 5,692.38 × 2,161.98
  4. Step 4: Simplify right side
    3,804.66x = 12,306,811.71
  5. Step 5: Solve for x
    x = 12,306,811.71/3,804.66
  6. Step 6: Final answer
    x = 3,234.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.