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Finding the Fourth Proportional to 5,255.28, 7,884 and 1,968.36

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Solution

The fourth proportional to 5,255.28, 7,884 and 1,968.36 is: 2,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.28 : 7,884 = 1,968.36 : x
  2. Step 2: Convert to fraction form
    5,255.28/7,884 = 1,968.36/x
  3. Step 3: Cross multiply
    5,255.28x = 7,884 × 1,968.36
  4. Step 4: Simplify right side
    5,255.28x = 15,518,550.24
  5. Step 5: Solve for x
    x = 15,518,550.24/5,255.28
  6. Step 6: Final answer
    x = 2,952.94

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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.