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Finding the Fourth Proportional to 3,858.36, 5,787.56 and 1,261.52

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Solution

The fourth proportional to 3,858.36, 5,787.56 and 1,261.52 is: 1,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.36 : 5,787.56 = 1,261.52 : x
  2. Step 2: Convert to fraction form
    3,858.36/5,787.56 = 1,261.52/x
  3. Step 3: Cross multiply
    3,858.36x = 5,787.56 × 1,261.52
  4. Step 4: Simplify right side
    3,858.36x = 7,301,122.69
  5. Step 5: Solve for x
    x = 7,301,122.69/3,858.36
  6. Step 6: Final answer
    x = 1,892.29

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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.