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Finding the Fourth Proportional to 3,704.35, 5,555.89 and 1,106.68

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Solution

The fourth proportional to 3,704.35, 5,555.89 and 1,106.68 is: 1,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.35 : 5,555.89 = 1,106.68 : x
  2. Step 2: Convert to fraction form
    3,704.35/5,555.89 = 1,106.68/x
  3. Step 3: Cross multiply
    3,704.35x = 5,555.89 × 1,106.68
  4. Step 4: Simplify right side
    3,704.35x = 6,148,575.69
  5. Step 5: Solve for x
    x = 6,148,575.69/3,704.35
  6. Step 6: Final answer
    x = 1,659.83

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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.