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Finding the Fourth Proportional to 7,203.70, 10,808.84 and 3,256

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Solution

The fourth proportional to 7,203.70, 10,808.84 and 3,256 is: 4,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.70 : 10,808.84 = 3,256 : x
  2. Step 2: Convert to fraction form
    7,203.70/10,808.84 = 3,256/x
  3. Step 3: Cross multiply
    7,203.70x = 10,808.84 × 3,256
  4. Step 4: Simplify right side
    7,203.70x = 35,193,583.04
  5. Step 5: Solve for x
    x = 35,193,583.04/7,203.70
  6. Step 6: Final answer
    x = 4,885.49

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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.