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Finding the Fourth Proportional to 5,297.37, 7,310.72 and 3,059.34

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Solution

The fourth proportional to 5,297.37, 7,310.72 and 3,059.34 is: 4,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.37 : 7,310.72 = 3,059.34 : x
  2. Step 2: Convert to fraction form
    5,297.37/7,310.72 = 3,059.34/x
  3. Step 3: Cross multiply
    5,297.37x = 7,310.72 × 3,059.34
  4. Step 4: Simplify right side
    5,297.37x = 22,365,978.12
  5. Step 5: Solve for x
    x = 22,365,978.12/5,297.37
  6. Step 6: Final answer
    x = 4,222.09

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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.