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Finding the Fourth Proportional to 3,725.36, 5,140.92 and 2,069.36

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Solution

The fourth proportional to 3,725.36, 5,140.92 and 2,069.36 is: 2,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.36 : 5,140.92 = 2,069.36 : x
  2. Step 2: Convert to fraction form
    3,725.36/5,140.92 = 2,069.36/x
  3. Step 3: Cross multiply
    3,725.36x = 5,140.92 × 2,069.36
  4. Step 4: Simplify right side
    3,725.36x = 10,638,414.21
  5. Step 5: Solve for x
    x = 10,638,414.21/3,725.36
  6. Step 6: Final answer
    x = 2,855.67

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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.