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Finding the Fourth Proportional to 3,675.08, 5,071.53 and 1,996.47

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Solution

The fourth proportional to 3,675.08, 5,071.53 and 1,996.47 is: 2,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.08 : 5,071.53 = 1,996.47 : x
  2. Step 2: Convert to fraction form
    3,675.08/5,071.53 = 1,996.47/x
  3. Step 3: Cross multiply
    3,675.08x = 5,071.53 × 1,996.47
  4. Step 4: Simplify right side
    3,675.08x = 10,125,157.50
  5. Step 5: Solve for x
    x = 10,125,157.50/3,675.08
  6. Step 6: Final answer
    x = 2,755.08

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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.