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Finding the Fourth Proportional to 2,754.21, 3,806.27 and 2,256.06

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Solution

The fourth proportional to 2,754.21, 3,806.27 and 2,256.06 is: 3,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.21 : 3,806.27 = 2,256.06 : x
  2. Step 2: Convert to fraction form
    2,754.21/3,806.27 = 2,256.06/x
  3. Step 3: Cross multiply
    2,754.21x = 3,806.27 × 2,256.06
  4. Step 4: Simplify right side
    2,754.21x = 8,587,173.50
  5. Step 5: Solve for x
    x = 8,587,173.50/2,754.21
  6. Step 6: Final answer
    x = 3,117.84

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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.