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Finding the Fourth Proportional to 3,858.22, 5,787.35 and 1,261.17

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Solution

The fourth proportional to 3,858.22, 5,787.35 and 1,261.17 is: 1,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.22 : 5,787.35 = 1,261.17 : x
  2. Step 2: Convert to fraction form
    3,858.22/5,787.35 = 1,261.17/x
  3. Step 3: Cross multiply
    3,858.22x = 5,787.35 × 1,261.17
  4. Step 4: Simplify right side
    3,858.22x = 7,298,832.20
  5. Step 5: Solve for x
    x = 7,298,832.20/3,858.22
  6. Step 6: Final answer
    x = 1,891.76

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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.