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Finding the Fourth Proportional to 4,936.42, 7,406.70 and 1,816.75

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Solution

The fourth proportional to 4,936.42, 7,406.70 and 1,816.75 is: 2,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.42 : 7,406.70 = 1,816.75 : x
  2. Step 2: Convert to fraction form
    4,936.42/7,406.70 = 1,816.75/x
  3. Step 3: Cross multiply
    4,936.42x = 7,406.70 × 1,816.75
  4. Step 4: Simplify right side
    4,936.42x = 13,456,122.23
  5. Step 5: Solve for x
    x = 13,456,122.23/4,936.42
  6. Step 6: Final answer
    x = 2,725.89

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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.