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Finding the Fourth Proportional to 5,900.24, 8,142 and 3,247.58

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Solution

The fourth proportional to 5,900.24, 8,142 and 3,247.58 is: 4,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.24 : 8,142 = 3,247.58 : x
  2. Step 2: Convert to fraction form
    5,900.24/8,142 = 3,247.58/x
  3. Step 3: Cross multiply
    5,900.24x = 8,142 × 3,247.58
  4. Step 4: Simplify right side
    5,900.24x = 26,441,796.36
  5. Step 5: Solve for x
    x = 26,441,796.36/5,900.24
  6. Step 6: Final answer
    x = 4,481.48

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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.