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Finding the Fourth Proportional to 3,811.28, 5,254.32 and 3,728.48

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Solution

The fourth proportional to 3,811.28, 5,254.32 and 3,728.48 is: 5,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.28 : 5,254.32 = 3,728.48 : x
  2. Step 2: Convert to fraction form
    3,811.28/5,254.32 = 3,728.48/x
  3. Step 3: Cross multiply
    3,811.28x = 5,254.32 × 3,728.48
  4. Step 4: Simplify right side
    3,811.28x = 19,590,627.03
  5. Step 5: Solve for x
    x = 19,590,627.03/3,811.28
  6. Step 6: Final answer
    x = 5,140.17

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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.