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Finding the Fourth Proportional to 6,548.96, 9,037.60 and 3,754.56

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Solution

The fourth proportional to 6,548.96, 9,037.60 and 3,754.56 is: 5,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.96 : 9,037.60 = 3,754.56 : x
  2. Step 2: Convert to fraction form
    6,548.96/9,037.60 = 3,754.56/x
  3. Step 3: Cross multiply
    6,548.96x = 9,037.60 × 3,754.56
  4. Step 4: Simplify right side
    6,548.96x = 33,932,211.46
  5. Step 5: Solve for x
    x = 33,932,211.46/6,548.96
  6. Step 6: Final answer
    x = 5,181.31

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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.