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Finding the Fourth Proportional to 5,834.09, 8,051.03 and 3,181.49

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Solution

The fourth proportional to 5,834.09, 8,051.03 and 3,181.49 is: 4,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.09 : 8,051.03 = 3,181.49 : x
  2. Step 2: Convert to fraction form
    5,834.09/8,051.03 = 3,181.49/x
  3. Step 3: Cross multiply
    5,834.09x = 8,051.03 × 3,181.49
  4. Step 4: Simplify right side
    5,834.09x = 25,614,255.53
  5. Step 5: Solve for x
    x = 25,614,255.53/5,834.09
  6. Step 6: Final answer
    x = 4,390.45

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