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Finding the Fourth Proportional to 4,707.97, 6,494.94 and 2,914.97

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Solution

The fourth proportional to 4,707.97, 6,494.94 and 2,914.97 is: 4,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.97 : 6,494.94 = 2,914.97 : x
  2. Step 2: Convert to fraction form
    4,707.97/6,494.94 = 2,914.97/x
  3. Step 3: Cross multiply
    4,707.97x = 6,494.94 × 2,914.97
  4. Step 4: Simplify right side
    4,707.97x = 18,932,508.20
  5. Step 5: Solve for x
    x = 18,932,508.20/4,707.97
  6. Step 6: Final answer
    x = 4,021.38

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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.