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Finding the Fourth Proportional to 5,621.76, 7,749.20 and 3,850.28

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Solution

The fourth proportional to 5,621.76, 7,749.20 and 3,850.28 is: 5,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.76 : 7,749.20 = 3,850.28 : x
  2. Step 2: Convert to fraction form
    5,621.76/7,749.20 = 3,850.28/x
  3. Step 3: Cross multiply
    5,621.76x = 7,749.20 × 3,850.28
  4. Step 4: Simplify right side
    5,621.76x = 29,836,589.78
  5. Step 5: Solve for x
    x = 29,836,589.78/5,621.76
  6. Step 6: Final answer
    x = 5,307.34

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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.