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Finding the Fourth Proportional to 3,684.72, 5,523.61 and 1,834.09

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Solution

The fourth proportional to 3,684.72, 5,523.61 and 1,834.09 is: 2,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.72 : 5,523.61 = 1,834.09 : x
  2. Step 2: Convert to fraction form
    3,684.72/5,523.61 = 1,834.09/x
  3. Step 3: Cross multiply
    3,684.72x = 5,523.61 × 1,834.09
  4. Step 4: Simplify right side
    3,684.72x = 10,130,784.06
  5. Step 5: Solve for x
    x = 10,130,784.06/3,684.72
  6. Step 6: Final answer
    x = 2,749.40

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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.