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Finding the Fourth Proportional to 5,872.36, 8,802.54 and 2,584.84

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Solution

The fourth proportional to 5,872.36, 8,802.54 and 2,584.84 is: 3,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.36 : 8,802.54 = 2,584.84 : x
  2. Step 2: Convert to fraction form
    5,872.36/8,802.54 = 2,584.84/x
  3. Step 3: Cross multiply
    5,872.36x = 8,802.54 × 2,584.84
  4. Step 4: Simplify right side
    5,872.36x = 22,753,157.49
  5. Step 5: Solve for x
    x = 22,753,157.49/5,872.36
  6. Step 6: Final answer
    x = 3,874.62

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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.