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Finding the Fourth Proportional to 5,834.57, 8,051.59 and 3,181.92

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Solution

The fourth proportional to 5,834.57, 8,051.59 and 3,181.92 is: 4,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.57 : 8,051.59 = 3,181.92 : x
  2. Step 2: Convert to fraction form
    5,834.57/8,051.59 = 3,181.92/x
  3. Step 3: Cross multiply
    5,834.57x = 8,051.59 × 3,181.92
  4. Step 4: Simplify right side
    5,834.57x = 25,619,515.25
  5. Step 5: Solve for x
    x = 25,619,515.25/5,834.57
  6. Step 6: Final answer
    x = 4,390.99

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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.