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Finding the Fourth Proportional to 3,615.67, 5,416.71 and 2,884.42

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Solution

The fourth proportional to 3,615.67, 5,416.71 and 2,884.42 is: 4,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.67 : 5,416.71 = 2,884.42 : x
  2. Step 2: Convert to fraction form
    3,615.67/5,416.71 = 2,884.42/x
  3. Step 3: Cross multiply
    3,615.67x = 5,416.71 × 2,884.42
  4. Step 4: Simplify right side
    3,615.67x = 15,624,066.66
  5. Step 5: Solve for x
    x = 15,624,066.66/3,615.67
  6. Step 6: Final answer
    x = 4,321.21

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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.