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Finding the Fourth Proportional to 4,921.32, 6,789.46 and 2,825

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Solution

The fourth proportional to 4,921.32, 6,789.46 and 2,825 is: 3,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.32 : 6,789.46 = 2,825 : x
  2. Step 2: Convert to fraction form
    4,921.32/6,789.46 = 2,825/x
  3. Step 3: Cross multiply
    4,921.32x = 6,789.46 × 2,825
  4. Step 4: Simplify right side
    4,921.32x = 19,180,224.50
  5. Step 5: Solve for x
    x = 19,180,224.50/4,921.32
  6. Step 6: Final answer
    x = 3,897.37

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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.