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Finding the Fourth Proportional to 4,532.91, 6,255.45 and 2,961

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Solution

The fourth proportional to 4,532.91, 6,255.45 and 2,961 is: 4,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.91 : 6,255.45 = 2,961 : x
  2. Step 2: Convert to fraction form
    4,532.91/6,255.45 = 2,961/x
  3. Step 3: Cross multiply
    4,532.91x = 6,255.45 × 2,961
  4. Step 4: Simplify right side
    4,532.91x = 18,522,387.45
  5. Step 5: Solve for x
    x = 18,522,387.45/4,532.91
  6. Step 6: Final answer
    x = 4,086.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.