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Finding the Fourth Proportional to 3,856.71, 5,771.69 and 2,375.27

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Solution

The fourth proportional to 3,856.71, 5,771.69 and 2,375.27 is: 3,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.71 : 5,771.69 = 2,375.27 : x
  2. Step 2: Convert to fraction form
    3,856.71/5,771.69 = 2,375.27/x
  3. Step 3: Cross multiply
    3,856.71x = 5,771.69 × 2,375.27
  4. Step 4: Simplify right side
    3,856.71x = 13,709,322.11
  5. Step 5: Solve for x
    x = 13,709,322.11/3,856.71
  6. Step 6: Final answer
    x = 3,554.67

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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.