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Finding the Fourth Proportional to 3,754.61, 5,175.87 and 2,632.16

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Solution

The fourth proportional to 3,754.61, 5,175.87 and 2,632.16 is: 3,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.61 : 5,175.87 = 2,632.16 : x
  2. Step 2: Convert to fraction form
    3,754.61/5,175.87 = 2,632.16/x
  3. Step 3: Cross multiply
    3,754.61x = 5,175.87 × 2,632.16
  4. Step 4: Simplify right side
    3,754.61x = 13,623,717.98
  5. Step 5: Solve for x
    x = 13,623,717.98/3,754.61
  6. Step 6: Final answer
    x = 3,628.53

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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.