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Finding the Fourth Proportional to 4,300.96, 5,936.40 and 2,644

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Solution

The fourth proportional to 4,300.96, 5,936.40 and 2,644 is: 3,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.96 : 5,936.40 = 2,644 : x
  2. Step 2: Convert to fraction form
    4,300.96/5,936.40 = 2,644/x
  3. Step 3: Cross multiply
    4,300.96x = 5,936.40 × 2,644
  4. Step 4: Simplify right side
    4,300.96x = 15,695,841.60
  5. Step 5: Solve for x
    x = 15,695,841.60/4,300.96
  6. Step 6: Final answer
    x = 3,649.38

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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.