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Finding the Fourth Proportional to 4,816.56, 7,224.54 and 2,967.94

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Solution

The fourth proportional to 4,816.56, 7,224.54 and 2,967.94 is: 4,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.56 : 7,224.54 = 2,967.94 : x
  2. Step 2: Convert to fraction form
    4,816.56/7,224.54 = 2,967.94/x
  3. Step 3: Cross multiply
    4,816.56x = 7,224.54 × 2,967.94
  4. Step 4: Simplify right side
    4,816.56x = 21,442,015.84
  5. Step 5: Solve for x
    x = 21,442,015.84/4,816.56
  6. Step 6: Final answer
    x = 4,451.72

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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.