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Finding the Fourth Proportional to 4,739.24, 7,111.26 and 3,197

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Solution

The fourth proportional to 4,739.24, 7,111.26 and 3,197 is: 4,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.24 : 7,111.26 = 3,197 : x
  2. Step 2: Convert to fraction form
    4,739.24/7,111.26 = 3,197/x
  3. Step 3: Cross multiply
    4,739.24x = 7,111.26 × 3,197
  4. Step 4: Simplify right side
    4,739.24x = 22,734,698.22
  5. Step 5: Solve for x
    x = 22,734,698.22/4,739.24
  6. Step 6: Final answer
    x = 4,797.12

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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.