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Finding the Fourth Proportional to 5,256.56, 7,880.22 and 1,967.36

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Solution

The fourth proportional to 5,256.56, 7,880.22 and 1,967.36 is: 2,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.56 : 7,880.22 = 1,967.36 : x
  2. Step 2: Convert to fraction form
    5,256.56/7,880.22 = 1,967.36/x
  3. Step 3: Cross multiply
    5,256.56x = 7,880.22 × 1,967.36
  4. Step 4: Simplify right side
    5,256.56x = 15,503,190.22
  5. Step 5: Solve for x
    x = 15,503,190.22/5,256.56
  6. Step 6: Final answer
    x = 2,949.30

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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.