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Finding the Fourth Proportional to 4,843.20, 6,684.24 and 3,271.20

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Solution

The fourth proportional to 4,843.20, 6,684.24 and 3,271.20 is: 4,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.20 : 6,684.24 = 3,271.20 : x
  2. Step 2: Convert to fraction form
    4,843.20/6,684.24 = 3,271.20/x
  3. Step 3: Cross multiply
    4,843.20x = 6,684.24 × 3,271.20
  4. Step 4: Simplify right side
    4,843.20x = 21,865,485.89
  5. Step 5: Solve for x
    x = 21,865,485.89/4,843.20
  6. Step 6: Final answer
    x = 4,514.68

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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.