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Finding the Fourth Proportional to 5,892.72, 8,841.96 and 2,814

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Solution

The fourth proportional to 5,892.72, 8,841.96 and 2,814 is: 4,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.72 : 8,841.96 = 2,814 : x
  2. Step 2: Convert to fraction form
    5,892.72/8,841.96 = 2,814/x
  3. Step 3: Cross multiply
    5,892.72x = 8,841.96 × 2,814
  4. Step 4: Simplify right side
    5,892.72x = 24,881,275.44
  5. Step 5: Solve for x
    x = 24,881,275.44/5,892.72
  6. Step 6: Final answer
    x = 4,222.38

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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.