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Finding the Fourth Proportional to 3,821.76, 5,276.88 and 2,936.16

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Solution

The fourth proportional to 3,821.76, 5,276.88 and 2,936.16 is: 4,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.76 : 5,276.88 = 2,936.16 : x
  2. Step 2: Convert to fraction form
    3,821.76/5,276.88 = 2,936.16/x
  3. Step 3: Cross multiply
    3,821.76x = 5,276.88 × 2,936.16
  4. Step 4: Simplify right side
    3,821.76x = 15,493,763.98
  5. Step 5: Solve for x
    x = 15,493,763.98/3,821.76
  6. Step 6: Final answer
    x = 4,054.09

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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.