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Finding the Fourth Proportional to 3,752.44, 5,628.74 and 1,155.38

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Solution

The fourth proportional to 3,752.44, 5,628.74 and 1,155.38 is: 1,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.44 : 5,628.74 = 1,155.38 : x
  2. Step 2: Convert to fraction form
    3,752.44/5,628.74 = 1,155.38/x
  3. Step 3: Cross multiply
    3,752.44x = 5,628.74 × 1,155.38
  4. Step 4: Simplify right side
    3,752.44x = 6,503,299.70
  5. Step 5: Solve for x
    x = 6,503,299.70/3,752.44
  6. Step 6: Final answer
    x = 1,733.09

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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.