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Finding the Fourth Proportional to 3,706.39, 5,559.60 and 1,074.06

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Solution

The fourth proportional to 3,706.39, 5,559.60 and 1,074.06 is: 1,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.39 : 5,559.60 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    3,706.39/5,559.60 = 1,074.06/x
  3. Step 3: Cross multiply
    3,706.39x = 5,559.60 × 1,074.06
  4. Step 4: Simplify right side
    3,706.39x = 5,971,348.00
  5. Step 5: Solve for x
    x = 5,971,348.00/3,706.39
  6. Step 6: Final answer
    x = 1,611.09

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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.