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Finding the Fourth Proportional to 8,422.98, 12,634.50 and 2,579.58

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Solution

The fourth proportional to 8,422.98, 12,634.50 and 2,579.58 is: 3,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.98 : 12,634.50 = 2,579.58 : x
  2. Step 2: Convert to fraction form
    8,422.98/12,634.50 = 2,579.58/x
  3. Step 3: Cross multiply
    8,422.98x = 12,634.50 × 2,579.58
  4. Step 4: Simplify right side
    8,422.98x = 32,591,703.51
  5. Step 5: Solve for x
    x = 32,591,703.51/8,422.98
  6. Step 6: Final answer
    x = 3,869.38

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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.