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Finding the Fourth Proportional to 6,638.26, 9,160.44 and 3,653.52

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Solution

The fourth proportional to 6,638.26, 9,160.44 and 3,653.52 is: 5,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.26 : 9,160.44 = 3,653.52 : x
  2. Step 2: Convert to fraction form
    6,638.26/9,160.44 = 3,653.52/x
  3. Step 3: Cross multiply
    6,638.26x = 9,160.44 × 3,653.52
  4. Step 4: Simplify right side
    6,638.26x = 33,467,850.75
  5. Step 5: Solve for x
    x = 33,467,850.75/6,638.26
  6. Step 6: Final answer
    x = 5,041.66

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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.