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Finding the Fourth Proportional to 3,813.99, 5,697.87 and 2,416.14

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Solution

The fourth proportional to 3,813.99, 5,697.87 and 2,416.14 is: 3,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.99 : 5,697.87 = 2,416.14 : x
  2. Step 2: Convert to fraction form
    3,813.99/5,697.87 = 2,416.14/x
  3. Step 3: Cross multiply
    3,813.99x = 5,697.87 × 2,416.14
  4. Step 4: Simplify right side
    3,813.99x = 13,766,851.62
  5. Step 5: Solve for x
    x = 13,766,851.62/3,813.99
  6. Step 6: Final answer
    x = 3,609.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.