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Finding the Fourth Proportional to 5,834.32, 8,051.25 and 3,181.67

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Solution

The fourth proportional to 5,834.32, 8,051.25 and 3,181.67 is: 4,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.32 : 8,051.25 = 3,181.67 : x
  2. Step 2: Convert to fraction form
    5,834.32/8,051.25 = 3,181.67/x
  3. Step 3: Cross multiply
    5,834.32x = 8,051.25 × 3,181.67
  4. Step 4: Simplify right side
    5,834.32x = 25,616,380.33
  5. Step 5: Solve for x
    x = 25,616,380.33/5,834.32
  6. Step 6: Final answer
    x = 4,390.64

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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.