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Finding the Fourth Proportional to 5,834.42, 8,051.47 and 3,181.97

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Solution

The fourth proportional to 5,834.42, 8,051.47 and 3,181.97 is: 4,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.42 : 8,051.47 = 3,181.97 : x
  2. Step 2: Convert to fraction form
    5,834.42/8,051.47 = 3,181.97/x
  3. Step 3: Cross multiply
    5,834.42x = 8,051.47 × 3,181.97
  4. Step 4: Simplify right side
    5,834.42x = 25,619,536.00
  5. Step 5: Solve for x
    x = 25,619,536.00/5,834.42
  6. Step 6: Final answer
    x = 4,391.10

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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.