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Finding the Fourth Proportional to 7,271.59, 10,903 and 3,268.24

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Solution

The fourth proportional to 7,271.59, 10,903 and 3,268.24 is: 4,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.59 : 10,903 = 3,268.24 : x
  2. Step 2: Convert to fraction form
    7,271.59/10,903 = 3,268.24/x
  3. Step 3: Cross multiply
    7,271.59x = 10,903 × 3,268.24
  4. Step 4: Simplify right side
    7,271.59x = 35,633,620.72
  5. Step 5: Solve for x
    x = 35,633,620.72/7,271.59
  6. Step 6: Final answer
    x = 4,900.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.