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Finding the Fourth Proportional to 4,996.94, 6,889.36 and 4,097.38

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Solution

The fourth proportional to 4,996.94, 6,889.36 and 4,097.38 is: 5,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.94 : 6,889.36 = 4,097.38 : x
  2. Step 2: Convert to fraction form
    4,996.94/6,889.36 = 4,097.38/x
  3. Step 3: Cross multiply
    4,996.94x = 6,889.36 × 4,097.38
  4. Step 4: Simplify right side
    4,996.94x = 28,228,325.88
  5. Step 5: Solve for x
    x = 28,228,325.88/4,996.94
  6. Step 6: Final answer
    x = 5,649.12

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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.