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Finding the Fourth Proportional to 4,242.96, 6,361.20 and 2,396.16

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Solution

The fourth proportional to 4,242.96, 6,361.20 and 2,396.16 is: 3,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.96 : 6,361.20 = 2,396.16 : x
  2. Step 2: Convert to fraction form
    4,242.96/6,361.20 = 2,396.16/x
  3. Step 3: Cross multiply
    4,242.96x = 6,361.20 × 2,396.16
  4. Step 4: Simplify right side
    4,242.96x = 15,242,452.99
  5. Step 5: Solve for x
    x = 15,242,452.99/4,242.96
  6. Step 6: Final answer
    x = 3,592.41

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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.