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Finding the Fourth Proportional to 3,858.68, 5,787.11 and 1,777.39

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Solution

The fourth proportional to 3,858.68, 5,787.11 and 1,777.39 is: 2,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.68 : 5,787.11 = 1,777.39 : x
  2. Step 2: Convert to fraction form
    3,858.68/5,787.11 = 1,777.39/x
  3. Step 3: Cross multiply
    3,858.68x = 5,787.11 × 1,777.39
  4. Step 4: Simplify right side
    3,858.68x = 10,285,941.42
  5. Step 5: Solve for x
    x = 10,285,941.42/3,858.68
  6. Step 6: Final answer
    x = 2,665.66

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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.