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Finding the Fourth Proportional to 5,705.15, 8,556.37 and 1,755.86

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Solution

The fourth proportional to 5,705.15, 8,556.37 and 1,755.86 is: 2,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.15 : 8,556.37 = 1,755.86 : x
  2. Step 2: Convert to fraction form
    5,705.15/8,556.37 = 1,755.86/x
  3. Step 3: Cross multiply
    5,705.15x = 8,556.37 × 1,755.86
  4. Step 4: Simplify right side
    5,705.15x = 15,023,740.66
  5. Step 5: Solve for x
    x = 15,023,740.66/5,705.15
  6. Step 6: Final answer
    x = 2,633.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.