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Finding the Fourth Proportional to 5,886.72, 8,832.96 and 2,808

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Solution

The fourth proportional to 5,886.72, 8,832.96 and 2,808 is: 4,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.72 : 8,832.96 = 2,808 : x
  2. Step 2: Convert to fraction form
    5,886.72/8,832.96 = 2,808/x
  3. Step 3: Cross multiply
    5,886.72x = 8,832.96 × 2,808
  4. Step 4: Simplify right side
    5,886.72x = 24,802,951.68
  5. Step 5: Solve for x
    x = 24,802,951.68/5,886.72
  6. Step 6: Final answer
    x = 4,213.37

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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.