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Finding the Fourth Proportional to 3,754.25, 5,632.72 and 1,674.07

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Solution

The fourth proportional to 3,754.25, 5,632.72 and 1,674.07 is: 2,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.25 : 5,632.72 = 1,674.07 : x
  2. Step 2: Convert to fraction form
    3,754.25/5,632.72 = 1,674.07/x
  3. Step 3: Cross multiply
    3,754.25x = 5,632.72 × 1,674.07
  4. Step 4: Simplify right side
    3,754.25x = 9,429,590.40
  5. Step 5: Solve for x
    x = 9,429,590.40/3,754.25
  6. Step 6: Final answer
    x = 2,511.71

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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.