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Finding the Fourth Proportional to 3,835.40, 5,725.11 and 3,291.08

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Solution

The fourth proportional to 3,835.40, 5,725.11 and 3,291.08 is: 4,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.40 : 5,725.11 = 3,291.08 : x
  2. Step 2: Convert to fraction form
    3,835.40/5,725.11 = 3,291.08/x
  3. Step 3: Cross multiply
    3,835.40x = 5,725.11 × 3,291.08
  4. Step 4: Simplify right side
    3,835.40x = 18,841,778.56
  5. Step 5: Solve for x
    x = 18,841,778.56/3,835.40
  6. Step 6: Final answer
    x = 4,912.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.