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Finding the Fourth Proportional to 5,416.28, 8,129.16 and 2,645

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Solution

The fourth proportional to 5,416.28, 8,129.16 and 2,645 is: 3,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.28 : 8,129.16 = 2,645 : x
  2. Step 2: Convert to fraction form
    5,416.28/8,129.16 = 2,645/x
  3. Step 3: Cross multiply
    5,416.28x = 8,129.16 × 2,645
  4. Step 4: Simplify right side
    5,416.28x = 21,501,628.20
  5. Step 5: Solve for x
    x = 21,501,628.20/5,416.28
  6. Step 6: Final answer
    x = 3,969.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.