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Finding the Fourth Proportional to 5,363.44, 7,400.86 and 3,005

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Solution

The fourth proportional to 5,363.44, 7,400.86 and 3,005 is: 4,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.44 : 7,400.86 = 3,005 : x
  2. Step 2: Convert to fraction form
    5,363.44/7,400.86 = 3,005/x
  3. Step 3: Cross multiply
    5,363.44x = 7,400.86 × 3,005
  4. Step 4: Simplify right side
    5,363.44x = 22,239,584.30
  5. Step 5: Solve for x
    x = 22,239,584.30/5,363.44
  6. Step 6: Final answer
    x = 4,146.51

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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.