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Finding the Fourth Proportional to 4,407.73, 6,611.73 and 1,739.23

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Solution

The fourth proportional to 4,407.73, 6,611.73 and 1,739.23 is: 2,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.73 : 6,611.73 = 1,739.23 : x
  2. Step 2: Convert to fraction form
    4,407.73/6,611.73 = 1,739.23/x
  3. Step 3: Cross multiply
    4,407.73x = 6,611.73 × 1,739.23
  4. Step 4: Simplify right side
    4,407.73x = 11,499,319.17
  5. Step 5: Solve for x
    x = 11,499,319.17/4,407.73
  6. Step 6: Final answer
    x = 2,608.90

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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.