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Finding the Fourth Proportional to 6,169.54, 9,254.28 and 2,880.80

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Solution

The fourth proportional to 6,169.54, 9,254.28 and 2,880.80 is: 4,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.54 : 9,254.28 = 2,880.80 : x
  2. Step 2: Convert to fraction form
    6,169.54/9,254.28 = 2,880.80/x
  3. Step 3: Cross multiply
    6,169.54x = 9,254.28 × 2,880.80
  4. Step 4: Simplify right side
    6,169.54x = 26,659,729.82
  5. Step 5: Solve for x
    x = 26,659,729.82/6,169.54
  6. Step 6: Final answer
    x = 4,321.19

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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.