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Finding the Fourth Proportional to 3,886.56, 5,361.86 and 2,206.60

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Solution

The fourth proportional to 3,886.56, 5,361.86 and 2,206.60 is: 3,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.56 : 5,361.86 = 2,206.60 : x
  2. Step 2: Convert to fraction form
    3,886.56/5,361.86 = 2,206.60/x
  3. Step 3: Cross multiply
    3,886.56x = 5,361.86 × 2,206.60
  4. Step 4: Simplify right side
    3,886.56x = 11,831,472.39
  5. Step 5: Solve for x
    x = 11,831,472.39/3,886.56
  6. Step 6: Final answer
    x = 3,044.20

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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.