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Finding the Fourth Proportional to 4,638.69, 6,400.08 and 3,640.88

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Solution

The fourth proportional to 4,638.69, 6,400.08 and 3,640.88 is: 5,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.69 : 6,400.08 = 3,640.88 : x
  2. Step 2: Convert to fraction form
    4,638.69/6,400.08 = 3,640.88/x
  3. Step 3: Cross multiply
    4,638.69x = 6,400.08 × 3,640.88
  4. Step 4: Simplify right side
    4,638.69x = 23,301,939.27
  5. Step 5: Solve for x
    x = 23,301,939.27/4,638.69
  6. Step 6: Final answer
    x = 5,023.39

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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.