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Finding the Fourth Proportional to 3,754.17, 5,632.92 and 1,290.76

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Solution

The fourth proportional to 3,754.17, 5,632.92 and 1,290.76 is: 1,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.17 : 5,632.92 = 1,290.76 : x
  2. Step 2: Convert to fraction form
    3,754.17/5,632.92 = 1,290.76/x
  3. Step 3: Cross multiply
    3,754.17x = 5,632.92 × 1,290.76
  4. Step 4: Simplify right side
    3,754.17x = 7,270,747.82
  5. Step 5: Solve for x
    x = 7,270,747.82/3,754.17
  6. Step 6: Final answer
    x = 1,936.71

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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.