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Finding the Fourth Proportional to 5,838.55, 8,057.14 and 3,185.93

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Solution

The fourth proportional to 5,838.55, 8,057.14 and 3,185.93 is: 4,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.55 : 8,057.14 = 3,185.93 : x
  2. Step 2: Convert to fraction form
    5,838.55/8,057.14 = 3,185.93/x
  3. Step 3: Cross multiply
    5,838.55x = 8,057.14 × 3,185.93
  4. Step 4: Simplify right side
    5,838.55x = 25,669,496.22
  5. Step 5: Solve for x
    x = 25,669,496.22/5,838.55
  6. Step 6: Final answer
    x = 4,396.56

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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.