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Finding the Fourth Proportional to 4,936.64, 7,361.42 and 4,892.19

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Solution

The fourth proportional to 4,936.64, 7,361.42 and 4,892.19 is: 7,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.64 : 7,361.42 = 4,892.19 : x
  2. Step 2: Convert to fraction form
    4,936.64/7,361.42 = 4,892.19/x
  3. Step 3: Cross multiply
    4,936.64x = 7,361.42 × 4,892.19
  4. Step 4: Simplify right side
    4,936.64x = 36,013,465.31
  5. Step 5: Solve for x
    x = 36,013,465.31/4,936.64
  6. Step 6: Final answer
    x = 7,295.14

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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.