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Finding the Fourth Proportional to 8,591.94, 12,889 and 3,044.20

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Solution

The fourth proportional to 8,591.94, 12,889 and 3,044.20 is: 4,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.94 : 12,889 = 3,044.20 : x
  2. Step 2: Convert to fraction form
    8,591.94/12,889 = 3,044.20/x
  3. Step 3: Cross multiply
    8,591.94x = 12,889 × 3,044.20
  4. Step 4: Simplify right side
    8,591.94x = 39,236,693.80
  5. Step 5: Solve for x
    x = 39,236,693.80/8,591.94
  6. Step 6: Final answer
    x = 4,566.69

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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.