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Finding the Fourth Proportional to 5,462.46, 7,538.54 and 3,105.36

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Solution

The fourth proportional to 5,462.46, 7,538.54 and 3,105.36 is: 4,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.46 : 7,538.54 = 3,105.36 : x
  2. Step 2: Convert to fraction form
    5,462.46/7,538.54 = 3,105.36/x
  3. Step 3: Cross multiply
    5,462.46x = 7,538.54 × 3,105.36
  4. Step 4: Simplify right side
    5,462.46x = 23,409,865.05
  5. Step 5: Solve for x
    x = 23,409,865.05/5,462.46
  6. Step 6: Final answer
    x = 4,285.59

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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.