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Finding the Fourth Proportional to 3,776.74, 5,662.92 and 2,528.74

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Solution

The fourth proportional to 3,776.74, 5,662.92 and 2,528.74 is: 3,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.74 : 5,662.92 = 2,528.74 : x
  2. Step 2: Convert to fraction form
    3,776.74/5,662.92 = 2,528.74/x
  3. Step 3: Cross multiply
    3,776.74x = 5,662.92 × 2,528.74
  4. Step 4: Simplify right side
    3,776.74x = 14,320,052.32
  5. Step 5: Solve for x
    x = 14,320,052.32/3,776.74
  6. Step 6: Final answer
    x = 3,791.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.