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Finding the Fourth Proportional to 4,739.49, 7,111.64 and 3,197.25

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Solution

The fourth proportional to 4,739.49, 7,111.64 and 3,197.25 is: 4,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.49 : 7,111.64 = 3,197.25 : x
  2. Step 2: Convert to fraction form
    4,739.49/7,111.64 = 3,197.25/x
  3. Step 3: Cross multiply
    4,739.49x = 7,111.64 × 3,197.25
  4. Step 4: Simplify right side
    4,739.49x = 22,737,675.00
  5. Step 5: Solve for x
    x = 22,737,675.00/4,739.49
  6. Step 6: Final answer
    x = 4,797.49

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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.