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Finding the Fourth Proportional to 4,769.28, 6,578.28 and 4,608.72

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Solution

The fourth proportional to 4,769.28, 6,578.28 and 4,608.72 is: 6,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.28 : 6,578.28 = 4,608.72 : x
  2. Step 2: Convert to fraction form
    4,769.28/6,578.28 = 4,608.72/x
  3. Step 3: Cross multiply
    4,769.28x = 6,578.28 × 4,608.72
  4. Step 4: Simplify right side
    4,769.28x = 30,317,450.60
  5. Step 5: Solve for x
    x = 30,317,450.60/4,769.28
  6. Step 6: Final answer
    x = 6,356.82

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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.