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Finding the Fourth Proportional to 4,995.27, 6,893.10 and 2,978.64

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Solution

The fourth proportional to 4,995.27, 6,893.10 and 2,978.64 is: 4,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.27 : 6,893.10 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    4,995.27/6,893.10 = 2,978.64/x
  3. Step 3: Cross multiply
    4,995.27x = 6,893.10 × 2,978.64
  4. Step 4: Simplify right side
    4,995.27x = 20,532,063.38
  5. Step 5: Solve for x
    x = 20,532,063.38/4,995.27
  6. Step 6: Final answer
    x = 4,110.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.