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Finding the Fourth Proportional to 4,096.49, 5,649.68 and 3,468.39

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Solution

The fourth proportional to 4,096.49, 5,649.68 and 3,468.39 is: 4,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.49 : 5,649.68 = 3,468.39 : x
  2. Step 2: Convert to fraction form
    4,096.49/5,649.68 = 3,468.39/x
  3. Step 3: Cross multiply
    4,096.49x = 5,649.68 × 3,468.39
  4. Step 4: Simplify right side
    4,096.49x = 19,595,276.27
  5. Step 5: Solve for x
    x = 19,595,276.27/4,096.49
  6. Step 6: Final answer
    x = 4,783.44

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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.