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Finding the Fourth Proportional to 5,171.63, 7,758.17 and 1,886.27

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Solution

The fourth proportional to 5,171.63, 7,758.17 and 1,886.27 is: 2,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.63 : 7,758.17 = 1,886.27 : x
  2. Step 2: Convert to fraction form
    5,171.63/7,758.17 = 1,886.27/x
  3. Step 3: Cross multiply
    5,171.63x = 7,758.17 × 1,886.27
  4. Step 4: Simplify right side
    5,171.63x = 14,633,993.89
  5. Step 5: Solve for x
    x = 14,633,993.89/5,171.63
  6. Step 6: Final answer
    x = 2,829.67

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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.