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Finding the Fourth Proportional to 3,701.13, 5,116.67 and 3,546.22

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Solution

The fourth proportional to 3,701.13, 5,116.67 and 3,546.22 is: 4,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.13 : 5,116.67 = 3,546.22 : x
  2. Step 2: Convert to fraction form
    3,701.13/5,116.67 = 3,546.22/x
  3. Step 3: Cross multiply
    3,701.13x = 5,116.67 × 3,546.22
  4. Step 4: Simplify right side
    3,701.13x = 18,144,837.49
  5. Step 5: Solve for x
    x = 18,144,837.49/3,701.13
  6. Step 6: Final answer
    x = 4,902.51

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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.