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Finding the Fourth Proportional to 4,632.97, 6,946.36 and 2,553.97

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Solution

The fourth proportional to 4,632.97, 6,946.36 and 2,553.97 is: 3,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.97 : 6,946.36 = 2,553.97 : x
  2. Step 2: Convert to fraction form
    4,632.97/6,946.36 = 2,553.97/x
  3. Step 3: Cross multiply
    4,632.97x = 6,946.36 × 2,553.97
  4. Step 4: Simplify right side
    4,632.97x = 17,740,795.05
  5. Step 5: Solve for x
    x = 17,740,795.05/4,632.97
  6. Step 6: Final answer
    x = 3,829.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.