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Finding the Fourth Proportional to 4,997.90, 6,894.38 and 3,007.26

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Solution

The fourth proportional to 4,997.90, 6,894.38 and 3,007.26 is: 4,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.90 : 6,894.38 = 3,007.26 : x
  2. Step 2: Convert to fraction form
    4,997.90/6,894.38 = 3,007.26/x
  3. Step 3: Cross multiply
    4,997.90x = 6,894.38 × 3,007.26
  4. Step 4: Simplify right side
    4,997.90x = 20,733,200.72
  5. Step 5: Solve for x
    x = 20,733,200.72/4,997.90
  6. Step 6: Final answer
    x = 4,148.38

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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.