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Finding the Fourth Proportional to 3,808.42, 5,709.94 and 1,466.45

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Solution

The fourth proportional to 3,808.42, 5,709.94 and 1,466.45 is: 2,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.42 : 5,709.94 = 1,466.45 : x
  2. Step 2: Convert to fraction form
    3,808.42/5,709.94 = 1,466.45/x
  3. Step 3: Cross multiply
    3,808.42x = 5,709.94 × 1,466.45
  4. Step 4: Simplify right side
    3,808.42x = 8,373,371.08
  5. Step 5: Solve for x
    x = 8,373,371.08/3,808.42
  6. Step 6: Final answer
    x = 2,198.65

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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.