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Finding the Fourth Proportional to 3,900.36, 5,382.40 and 2,132

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Solution

The fourth proportional to 3,900.36, 5,382.40 and 2,132 is: 2,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.36 : 5,382.40 = 2,132 : x
  2. Step 2: Convert to fraction form
    3,900.36/5,382.40 = 2,132/x
  3. Step 3: Cross multiply
    3,900.36x = 5,382.40 × 2,132
  4. Step 4: Simplify right side
    3,900.36x = 11,475,276.80
  5. Step 5: Solve for x
    x = 11,475,276.80/3,900.36
  6. Step 6: Final answer
    x = 2,942.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.