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Finding the Fourth Proportional to 6,538.08, 9,022.46 and 3,553.84

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Solution

The fourth proportional to 6,538.08, 9,022.46 and 3,553.84 is: 4,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.08 : 9,022.46 = 3,553.84 : x
  2. Step 2: Convert to fraction form
    6,538.08/9,022.46 = 3,553.84/x
  3. Step 3: Cross multiply
    6,538.08x = 9,022.46 × 3,553.84
  4. Step 4: Simplify right side
    6,538.08x = 32,064,361.48
  5. Step 5: Solve for x
    x = 32,064,361.48/6,538.08
  6. Step 6: Final answer
    x = 4,904.25

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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.