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Finding the Fourth Proportional to 3,704.06, 5,101.17 and 3,261.80

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Solution

The fourth proportional to 3,704.06, 5,101.17 and 3,261.80 is: 4,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.06 : 5,101.17 = 3,261.80 : x
  2. Step 2: Convert to fraction form
    3,704.06/5,101.17 = 3,261.80/x
  3. Step 3: Cross multiply
    3,704.06x = 5,101.17 × 3,261.80
  4. Step 4: Simplify right side
    3,704.06x = 16,638,996.31
  5. Step 5: Solve for x
    x = 16,638,996.31/3,704.06
  6. Step 6: Final answer
    x = 4,492.10

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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.