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Finding the Fourth Proportional to 6,440.56, 9,654.44 and 3,661.48

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Solution

The fourth proportional to 6,440.56, 9,654.44 and 3,661.48 is: 5,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.56 : 9,654.44 = 3,661.48 : x
  2. Step 2: Convert to fraction form
    6,440.56/9,654.44 = 3,661.48/x
  3. Step 3: Cross multiply
    6,440.56x = 9,654.44 × 3,661.48
  4. Step 4: Simplify right side
    6,440.56x = 35,349,538.97
  5. Step 5: Solve for x
    x = 35,349,538.97/6,440.56
  6. Step 6: Final answer
    x = 5,488.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.