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Finding the Fourth Proportional to 8,580.90, 12,872.58 and 4,198.59

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Solution

The fourth proportional to 8,580.90, 12,872.58 and 4,198.59 is: 6,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.90 : 12,872.58 = 4,198.59 : x
  2. Step 2: Convert to fraction form
    8,580.90/12,872.58 = 4,198.59/x
  3. Step 3: Cross multiply
    8,580.90x = 12,872.58 × 4,198.59
  4. Step 4: Simplify right side
    8,580.90x = 54,046,685.66
  5. Step 5: Solve for x
    x = 54,046,685.66/8,580.90
  6. Step 6: Final answer
    x = 6,298.49

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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.