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Finding the Fourth Proportional to 2,987.56, 4,120.50 and 2,546.92

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Solution

The fourth proportional to 2,987.56, 4,120.50 and 2,546.92 is: 3,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.56 : 4,120.50 = 2,546.92 : x
  2. Step 2: Convert to fraction form
    2,987.56/4,120.50 = 2,546.92/x
  3. Step 3: Cross multiply
    2,987.56x = 4,120.50 × 2,546.92
  4. Step 4: Simplify right side
    2,987.56x = 10,494,583.86
  5. Step 5: Solve for x
    x = 10,494,583.86/2,987.56
  6. Step 6: Final answer
    x = 3,512.76

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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.