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Finding the Fourth Proportional to 3,643.73, 5,465.63 and 1,999.38

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Solution

The fourth proportional to 3,643.73, 5,465.63 and 1,999.38 is: 2,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.73 : 5,465.63 = 1,999.38 : x
  2. Step 2: Convert to fraction form
    3,643.73/5,465.63 = 1,999.38/x
  3. Step 3: Cross multiply
    3,643.73x = 5,465.63 × 1,999.38
  4. Step 4: Simplify right side
    3,643.73x = 10,927,885.56
  5. Step 5: Solve for x
    x = 10,927,885.56/3,643.73
  6. Step 6: Final answer
    x = 2,999.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.