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Finding the Fourth Proportional to 3,900.51, 5,382.62 and 2,132.13

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Solution

The fourth proportional to 3,900.51, 5,382.62 and 2,132.13 is: 2,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.51 : 5,382.62 = 2,132.13 : x
  2. Step 2: Convert to fraction form
    3,900.51/5,382.62 = 2,132.13/x
  3. Step 3: Cross multiply
    3,900.51x = 5,382.62 × 2,132.13
  4. Step 4: Simplify right side
    3,900.51x = 11,476,408.01
  5. Step 5: Solve for x
    x = 11,476,408.01/3,900.51
  6. Step 6: Final answer
    x = 2,942.29

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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.