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Finding the Fourth Proportional to 3,166.56, 4,750.09 and 1,705.39

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Solution

The fourth proportional to 3,166.56, 4,750.09 and 1,705.39 is: 2,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.56 : 4,750.09 = 1,705.39 : x
  2. Step 2: Convert to fraction form
    3,166.56/4,750.09 = 1,705.39/x
  3. Step 3: Cross multiply
    3,166.56x = 4,750.09 × 1,705.39
  4. Step 4: Simplify right side
    3,166.56x = 8,100,739.85
  5. Step 5: Solve for x
    x = 8,100,739.85/3,166.56
  6. Step 6: Final answer
    x = 2,558.21

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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.