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Finding the Fourth Proportional to 5,107.85, 7,660.14 and 1,644.29

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Solution

The fourth proportional to 5,107.85, 7,660.14 and 1,644.29 is: 2,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.85 : 7,660.14 = 1,644.29 : x
  2. Step 2: Convert to fraction form
    5,107.85/7,660.14 = 1,644.29/x
  3. Step 3: Cross multiply
    5,107.85x = 7,660.14 × 1,644.29
  4. Step 4: Simplify right side
    5,107.85x = 12,595,453.30
  5. Step 5: Solve for x
    x = 12,595,453.30/5,107.85
  6. Step 6: Final answer
    x = 2,465.90

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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.