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Finding the Fourth Proportional to 5,107.35, 7,661.21 and 1,409.85

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Solution

The fourth proportional to 5,107.35, 7,661.21 and 1,409.85 is: 2,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.35 : 7,661.21 = 1,409.85 : x
  2. Step 2: Convert to fraction form
    5,107.35/7,661.21 = 1,409.85/x
  3. Step 3: Cross multiply
    5,107.35x = 7,661.21 × 1,409.85
  4. Step 4: Simplify right side
    5,107.35x = 10,801,171.42
  5. Step 5: Solve for x
    x = 10,801,171.42/5,107.35
  6. Step 6: Final answer
    x = 2,114.83

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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.