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Finding the Fourth Proportional to 4,094.63, 5,650.39 and 2,326

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Solution

The fourth proportional to 4,094.63, 5,650.39 and 2,326 is: 3,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.63 : 5,650.39 = 2,326 : x
  2. Step 2: Convert to fraction form
    4,094.63/5,650.39 = 2,326/x
  3. Step 3: Cross multiply
    4,094.63x = 5,650.39 × 2,326
  4. Step 4: Simplify right side
    4,094.63x = 13,142,807.14
  5. Step 5: Solve for x
    x = 13,142,807.14/4,094.63
  6. Step 6: Final answer
    x = 3,209.77

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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.