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Finding the Fourth Proportional to 4,945.44, 6,823.44 and 3,289.44

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Solution

The fourth proportional to 4,945.44, 6,823.44 and 3,289.44 is: 4,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.44 : 6,823.44 = 3,289.44 : x
  2. Step 2: Convert to fraction form
    4,945.44/6,823.44 = 3,289.44/x
  3. Step 3: Cross multiply
    4,945.44x = 6,823.44 × 3,289.44
  4. Step 4: Simplify right side
    4,945.44x = 22,445,296.47
  5. Step 5: Solve for x
    x = 22,445,296.47/4,945.44
  6. Step 6: Final answer
    x = 4,538.58

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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.