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Finding the Fourth Proportional to 6,523.80, 9,790.50 and 3,604.52

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Solution

The fourth proportional to 6,523.80, 9,790.50 and 3,604.52 is: 5,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.80 : 9,790.50 = 3,604.52 : x
  2. Step 2: Convert to fraction form
    6,523.80/9,790.50 = 3,604.52/x
  3. Step 3: Cross multiply
    6,523.80x = 9,790.50 × 3,604.52
  4. Step 4: Simplify right side
    6,523.80x = 35,290,053.06
  5. Step 5: Solve for x
    x = 35,290,053.06/6,523.80
  6. Step 6: Final answer
    x = 5,409.43

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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.