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Finding the Fourth Proportional to 4,327.36, 5,972.20 and 2,649.78

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Solution

The fourth proportional to 4,327.36, 5,972.20 and 2,649.78 is: 3,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.36 : 5,972.20 = 2,649.78 : x
  2. Step 2: Convert to fraction form
    4,327.36/5,972.20 = 2,649.78/x
  3. Step 3: Cross multiply
    4,327.36x = 5,972.20 × 2,649.78
  4. Step 4: Simplify right side
    4,327.36x = 15,825,009.49
  5. Step 5: Solve for x
    x = 15,825,009.49/4,327.36
  6. Step 6: Final answer
    x = 3,656.97

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