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Finding the Fourth Proportional to 6,584.84, 9,880.01 and 2,889.73

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Solution

The fourth proportional to 6,584.84, 9,880.01 and 2,889.73 is: 4,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.84 : 9,880.01 = 2,889.73 : x
  2. Step 2: Convert to fraction form
    6,584.84/9,880.01 = 2,889.73/x
  3. Step 3: Cross multiply
    6,584.84x = 9,880.01 × 2,889.73
  4. Step 4: Simplify right side
    6,584.84x = 28,550,561.30
  5. Step 5: Solve for x
    x = 28,550,561.30/6,584.84
  6. Step 6: Final answer
    x = 4,335.80

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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.