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Finding the Fourth Proportional to 4,327.42, 5,971.35 and 2,649.22

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Solution

The fourth proportional to 4,327.42, 5,971.35 and 2,649.22 is: 3,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.42 : 5,971.35 = 2,649.22 : x
  2. Step 2: Convert to fraction form
    4,327.42/5,971.35 = 2,649.22/x
  3. Step 3: Cross multiply
    4,327.42x = 5,971.35 × 2,649.22
  4. Step 4: Simplify right side
    4,327.42x = 15,819,419.85
  5. Step 5: Solve for x
    x = 15,819,419.85/4,327.42
  6. Step 6: Final answer
    x = 3,655.62

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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.