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Finding the Fourth Proportional to 5,107.10, 7,660.65 and 3,811.10

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Solution

The fourth proportional to 5,107.10, 7,660.65 and 3,811.10 is: 5,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.10 : 7,660.65 = 3,811.10 : x
  2. Step 2: Convert to fraction form
    5,107.10/7,660.65 = 3,811.10/x
  3. Step 3: Cross multiply
    5,107.10x = 7,660.65 × 3,811.10
  4. Step 4: Simplify right side
    5,107.10x = 29,195,503.22
  5. Step 5: Solve for x
    x = 29,195,503.22/5,107.10
  6. Step 6: Final answer
    x = 5,716.65

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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.