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Finding the Fourth Proportional to 4,242.14, 6,361.16 and 1,467.84

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Solution

The fourth proportional to 4,242.14, 6,361.16 and 1,467.84 is: 2,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.14 : 6,361.16 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    4,242.14/6,361.16 = 1,467.84/x
  3. Step 3: Cross multiply
    4,242.14x = 6,361.16 × 1,467.84
  4. Step 4: Simplify right side
    4,242.14x = 9,337,181.61
  5. Step 5: Solve for x
    x = 9,337,181.61/4,242.14
  6. Step 6: Final answer
    x = 2,201.06

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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.