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Finding the Fourth Proportional to 6,147.98, 8,485.32 and 3,629.95

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Solution

The fourth proportional to 6,147.98, 8,485.32 and 3,629.95 is: 5,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.98 : 8,485.32 = 3,629.95 : x
  2. Step 2: Convert to fraction form
    6,147.98/8,485.32 = 3,629.95/x
  3. Step 3: Cross multiply
    6,147.98x = 8,485.32 × 3,629.95
  4. Step 4: Simplify right side
    6,147.98x = 30,801,244.91
  5. Step 5: Solve for x
    x = 30,801,244.91/6,147.98
  6. Step 6: Final answer
    x = 5,009.98

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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.