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Finding the Fourth Proportional to 3,682.77, 5,524.97 and 1,709.61

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Solution

The fourth proportional to 3,682.77, 5,524.97 and 1,709.61 is: 2,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.77 : 5,524.97 = 1,709.61 : x
  2. Step 2: Convert to fraction form
    3,682.77/5,524.97 = 1,709.61/x
  3. Step 3: Cross multiply
    3,682.77x = 5,524.97 × 1,709.61
  4. Step 4: Simplify right side
    3,682.77x = 9,445,543.96
  5. Step 5: Solve for x
    x = 9,445,543.96/3,682.77
  6. Step 6: Final answer
    x = 2,564.79

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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.