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Finding the Fourth Proportional to 5,630.78, 7,771.73 and 3,274.28

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Solution

The fourth proportional to 5,630.78, 7,771.73 and 3,274.28 is: 4,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.78 : 7,771.73 = 3,274.28 : x
  2. Step 2: Convert to fraction form
    5,630.78/7,771.73 = 3,274.28/x
  3. Step 3: Cross multiply
    5,630.78x = 7,771.73 × 3,274.28
  4. Step 4: Simplify right side
    5,630.78x = 25,446,820.10
  5. Step 5: Solve for x
    x = 25,446,820.10/5,630.78
  6. Step 6: Final answer
    x = 4,519.24

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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.