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Finding the Fourth Proportional to 4,034.57, 5,564.86 and 3,704.09

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Solution

The fourth proportional to 4,034.57, 5,564.86 and 3,704.09 is: 5,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.57 : 5,564.86 = 3,704.09 : x
  2. Step 2: Convert to fraction form
    4,034.57/5,564.86 = 3,704.09/x
  3. Step 3: Cross multiply
    4,034.57x = 5,564.86 × 3,704.09
  4. Step 4: Simplify right side
    4,034.57x = 20,612,742.28
  5. Step 5: Solve for x
    x = 20,612,742.28/4,034.57
  6. Step 6: Final answer
    x = 5,109.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.