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Finding the Fourth Proportional to 4,409.82, 6,608.94 and 1,811.34

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Solution

The fourth proportional to 4,409.82, 6,608.94 and 1,811.34 is: 2,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.82 : 6,608.94 = 1,811.34 : x
  2. Step 2: Convert to fraction form
    4,409.82/6,608.94 = 1,811.34/x
  3. Step 3: Cross multiply
    4,409.82x = 6,608.94 × 1,811.34
  4. Step 4: Simplify right side
    4,409.82x = 11,971,037.38
  5. Step 5: Solve for x
    x = 11,971,037.38/4,409.82
  6. Step 6: Final answer
    x = 2,714.63

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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.