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Finding the Fourth Proportional to 4,222.84, 5,824.02 and 3,178.12

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Solution

The fourth proportional to 4,222.84, 5,824.02 and 3,178.12 is: 4,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.84 : 5,824.02 = 3,178.12 : x
  2. Step 2: Convert to fraction form
    4,222.84/5,824.02 = 3,178.12/x
  3. Step 3: Cross multiply
    4,222.84x = 5,824.02 × 3,178.12
  4. Step 4: Simplify right side
    4,222.84x = 18,509,434.44
  5. Step 5: Solve for x
    x = 18,509,434.44/4,222.84
  6. Step 6: Final answer
    x = 4,383.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.