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Finding the Fourth Proportional to 5,023.67, 6,940.85 and 4,181.67

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Solution

The fourth proportional to 5,023.67, 6,940.85 and 4,181.67 is: 5,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.67 : 6,940.85 = 4,181.67 : x
  2. Step 2: Convert to fraction form
    5,023.67/6,940.85 = 4,181.67/x
  3. Step 3: Cross multiply
    5,023.67x = 6,940.85 × 4,181.67
  4. Step 4: Simplify right side
    5,023.67x = 29,024,323.31
  5. Step 5: Solve for x
    x = 29,024,323.31/5,023.67
  6. Step 6: Final answer
    x = 5,777.52

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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.