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Finding the Fourth Proportional to 3,673.69, 5,071.22 and 2,611.63

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Solution

The fourth proportional to 3,673.69, 5,071.22 and 2,611.63 is: 3,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.69 : 5,071.22 = 2,611.63 : x
  2. Step 2: Convert to fraction form
    3,673.69/5,071.22 = 2,611.63/x
  3. Step 3: Cross multiply
    3,673.69x = 5,071.22 × 2,611.63
  4. Step 4: Simplify right side
    3,673.69x = 13,244,153.36
  5. Step 5: Solve for x
    x = 13,244,153.36/3,673.69
  6. Step 6: Final answer
    x = 3,605.14

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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.