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Finding the Fourth Proportional to 6,442.25, 8,890.31 and 3,647.75

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Solution

The fourth proportional to 6,442.25, 8,890.31 and 3,647.75 is: 5,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.25 : 8,890.31 = 3,647.75 : x
  2. Step 2: Convert to fraction form
    6,442.25/8,890.31 = 3,647.75/x
  3. Step 3: Cross multiply
    6,442.25x = 8,890.31 × 3,647.75
  4. Step 4: Simplify right side
    6,442.25x = 32,429,610.06
  5. Step 5: Solve for x
    x = 32,429,610.06/6,442.25
  6. Step 6: Final answer
    x = 5,033.90

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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.