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Finding the Fourth Proportional to 4,191.72, 5,784.28 and 2,512.28

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Solution

The fourth proportional to 4,191.72, 5,784.28 and 2,512.28 is: 3,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.72 : 5,784.28 = 2,512.28 : x
  2. Step 2: Convert to fraction form
    4,191.72/5,784.28 = 2,512.28/x
  3. Step 3: Cross multiply
    4,191.72x = 5,784.28 × 2,512.28
  4. Step 4: Simplify right side
    4,191.72x = 14,531,739.14
  5. Step 5: Solve for x
    x = 14,531,739.14/4,191.72
  6. Step 6: Final answer
    x = 3,466.78

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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.