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Finding the Fourth Proportional to 3,882.77, 5,358.03 and 2,114.36

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Solution

The fourth proportional to 3,882.77, 5,358.03 and 2,114.36 is: 2,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.77 : 5,358.03 = 2,114.36 : x
  2. Step 2: Convert to fraction form
    3,882.77/5,358.03 = 2,114.36/x
  3. Step 3: Cross multiply
    3,882.77x = 5,358.03 × 2,114.36
  4. Step 4: Simplify right side
    3,882.77x = 11,328,804.31
  5. Step 5: Solve for x
    x = 11,328,804.31/3,882.77
  6. Step 6: Final answer
    x = 2,917.72

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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.