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Finding the Fourth Proportional to 3,885.35, 5,361.60 and 2,206.53

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Solution

The fourth proportional to 3,885.35, 5,361.60 and 2,206.53 is: 3,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.35 : 5,361.60 = 2,206.53 : x
  2. Step 2: Convert to fraction form
    3,885.35/5,361.60 = 2,206.53/x
  3. Step 3: Cross multiply
    3,885.35x = 5,361.60 × 2,206.53
  4. Step 4: Simplify right side
    3,885.35x = 11,830,531.25
  5. Step 5: Solve for x
    x = 11,830,531.25/3,885.35
  6. Step 6: Final answer
    x = 3,044.91

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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.