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Finding the Fourth Proportional to 3,453.84, 4,769.28 and 2,961.36

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Solution

The fourth proportional to 3,453.84, 4,769.28 and 2,961.36 is: 4,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.84 : 4,769.28 = 2,961.36 : x
  2. Step 2: Convert to fraction form
    3,453.84/4,769.28 = 2,961.36/x
  3. Step 3: Cross multiply
    3,453.84x = 4,769.28 × 2,961.36
  4. Step 4: Simplify right side
    3,453.84x = 14,123,555.02
  5. Step 5: Solve for x
    x = 14,123,555.02/3,453.84
  6. Step 6: Final answer
    x = 4,089.23

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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.