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Finding the Fourth Proportional to 3,806.35, 5,709.72 and 3,598.57

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Solution

The fourth proportional to 3,806.35, 5,709.72 and 3,598.57 is: 5,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.35 : 5,709.72 = 3,598.57 : x
  2. Step 2: Convert to fraction form
    3,806.35/5,709.72 = 3,598.57/x
  3. Step 3: Cross multiply
    3,806.35x = 5,709.72 × 3,598.57
  4. Step 4: Simplify right side
    3,806.35x = 20,546,827.10
  5. Step 5: Solve for x
    x = 20,546,827.10/3,806.35
  6. Step 6: Final answer
    x = 5,398.04

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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.