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Finding the Fourth Proportional to 2,884.56, 3,968.10 and 2,528.88

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Solution

The fourth proportional to 2,884.56, 3,968.10 and 2,528.88 is: 3,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.56 : 3,968.10 = 2,528.88 : x
  2. Step 2: Convert to fraction form
    2,884.56/3,968.10 = 2,528.88/x
  3. Step 3: Cross multiply
    2,884.56x = 3,968.10 × 2,528.88
  4. Step 4: Simplify right side
    2,884.56x = 10,034,848.73
  5. Step 5: Solve for x
    x = 10,034,848.73/2,884.56
  6. Step 6: Final answer
    x = 3,478.81

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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.