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Finding the Fourth Proportional to 3,679.36, 5,078.64 and 2,263.84

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Solution

The fourth proportional to 3,679.36, 5,078.64 and 2,263.84 is: 3,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.36 : 5,078.64 = 2,263.84 : x
  2. Step 2: Convert to fraction form
    3,679.36/5,078.64 = 2,263.84/x
  3. Step 3: Cross multiply
    3,679.36x = 5,078.64 × 2,263.84
  4. Step 4: Simplify right side
    3,679.36x = 11,497,228.38
  5. Step 5: Solve for x
    x = 11,497,228.38/3,679.36
  6. Step 6: Final answer
    x = 3,124.79

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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.