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Finding the Fourth Proportional to 4,657.76, 6,428.24 and 2,769.36

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Solution

The fourth proportional to 4,657.76, 6,428.24 and 2,769.36 is: 3,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.76 : 6,428.24 = 2,769.36 : x
  2. Step 2: Convert to fraction form
    4,657.76/6,428.24 = 2,769.36/x
  3. Step 3: Cross multiply
    4,657.76x = 6,428.24 × 2,769.36
  4. Step 4: Simplify right side
    4,657.76x = 17,802,110.73
  5. Step 5: Solve for x
    x = 17,802,110.73/4,657.76
  6. Step 6: Final answer
    x = 3,822.03

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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.