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Finding the Fourth Proportional to 5,238.96, 7,851.96 and 2,642.64

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Solution

The fourth proportional to 5,238.96, 7,851.96 and 2,642.64 is: 3,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.96 : 7,851.96 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    5,238.96/7,851.96 = 2,642.64/x
  3. Step 3: Cross multiply
    5,238.96x = 7,851.96 × 2,642.64
  4. Step 4: Simplify right side
    5,238.96x = 20,749,903.57
  5. Step 5: Solve for x
    x = 20,749,903.57/5,238.96
  6. Step 6: Final answer
    x = 3,960.69

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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.