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Finding the Fourth Proportional to 5,834.37, 8,051.43 and 3,181.78

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Solution

The fourth proportional to 5,834.37, 8,051.43 and 3,181.78 is: 4,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.37 : 8,051.43 = 3,181.78 : x
  2. Step 2: Convert to fraction form
    5,834.37/8,051.43 = 3,181.78/x
  3. Step 3: Cross multiply
    5,834.37x = 8,051.43 × 3,181.78
  4. Step 4: Simplify right side
    5,834.37x = 25,617,878.95
  5. Step 5: Solve for x
    x = 25,617,878.95/5,834.37
  6. Step 6: Final answer
    x = 4,390.86

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Why These Related Problems?

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