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Finding the Fourth Proportional to 3,894.28, 5,840.11 and 1,261.08

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Solution

The fourth proportional to 3,894.28, 5,840.11 and 1,261.08 is: 1,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.28 : 5,840.11 = 1,261.08 : x
  2. Step 2: Convert to fraction form
    3,894.28/5,840.11 = 1,261.08/x
  3. Step 3: Cross multiply
    3,894.28x = 5,840.11 × 1,261.08
  4. Step 4: Simplify right side
    3,894.28x = 7,364,812.54
  5. Step 5: Solve for x
    x = 7,364,812.54/3,894.28
  6. Step 6: Final answer
    x = 1,891.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.