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Finding the Fourth Proportional to 5,834.40, 8,051.52 and 3,181.86

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Solution

The fourth proportional to 5,834.40, 8,051.52 and 3,181.86 is: 4,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.40 : 8,051.52 = 3,181.86 : x
  2. Step 2: Convert to fraction form
    5,834.40/8,051.52 = 3,181.86/x
  3. Step 3: Cross multiply
    5,834.40x = 8,051.52 × 3,181.86
  4. Step 4: Simplify right side
    5,834.40x = 25,618,809.43
  5. Step 5: Solve for x
    x = 25,618,809.43/5,834.40
  6. Step 6: Final answer
    x = 4,390.99

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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.