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Finding the Fourth Proportional to 5,462.10, 8,186.54 and 3,893.67

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Solution

The fourth proportional to 5,462.10, 8,186.54 and 3,893.67 is: 5,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.10 : 8,186.54 = 3,893.67 : x
  2. Step 2: Convert to fraction form
    5,462.10/8,186.54 = 3,893.67/x
  3. Step 3: Cross multiply
    5,462.10x = 8,186.54 × 3,893.67
  4. Step 4: Simplify right side
    5,462.10x = 31,875,665.73
  5. Step 5: Solve for x
    x = 31,875,665.73/5,462.10
  6. Step 6: Final answer
    x = 5,835.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.