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Finding the Fourth Proportional to 5,876.07, 8,812 and 1,714.96

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Solution

The fourth proportional to 5,876.07, 8,812 and 1,714.96 is: 2,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.07 : 8,812 = 1,714.96 : x
  2. Step 2: Convert to fraction form
    5,876.07/8,812 = 1,714.96/x
  3. Step 3: Cross multiply
    5,876.07x = 8,812 × 1,714.96
  4. Step 4: Simplify right side
    5,876.07x = 15,112,227.52
  5. Step 5: Solve for x
    x = 15,112,227.52/5,876.07
  6. Step 6: Final answer
    x = 2,571.83

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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.