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Finding the Fourth Proportional to 3,629.53, 5,009.12 and 2,137.94

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Solution

The fourth proportional to 3,629.53, 5,009.12 and 2,137.94 is: 2,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.53 : 5,009.12 = 2,137.94 : x
  2. Step 2: Convert to fraction form
    3,629.53/5,009.12 = 2,137.94/x
  3. Step 3: Cross multiply
    3,629.53x = 5,009.12 × 2,137.94
  4. Step 4: Simplify right side
    3,629.53x = 10,709,162.28
  5. Step 5: Solve for x
    x = 10,709,162.28/3,629.53
  6. Step 6: Final answer
    x = 2,950.57

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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.