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Finding the Fourth Proportional to 3,858.48, 5,787.96 and 1,261.68

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Solution

The fourth proportional to 3,858.48, 5,787.96 and 1,261.68 is: 1,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.48 : 5,787.96 = 1,261.68 : x
  2. Step 2: Convert to fraction form
    3,858.48/5,787.96 = 1,261.68/x
  3. Step 3: Cross multiply
    3,858.48x = 5,787.96 × 1,261.68
  4. Step 4: Simplify right side
    3,858.48x = 7,302,553.37
  5. Step 5: Solve for x
    x = 7,302,553.37/3,858.48
  6. Step 6: Final answer
    x = 1,892.60

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Why These Related Problems?

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