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Finding the Fourth Proportional to 3,857.76, 5,787.36 and 1,776.96

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Solution

The fourth proportional to 3,857.76, 5,787.36 and 1,776.96 is: 2,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.76 : 5,787.36 = 1,776.96 : x
  2. Step 2: Convert to fraction form
    3,857.76/5,787.36 = 1,776.96/x
  3. Step 3: Cross multiply
    3,857.76x = 5,787.36 × 1,776.96
  4. Step 4: Simplify right side
    3,857.76x = 10,283,907.23
  5. Step 5: Solve for x
    x = 10,283,907.23/3,857.76
  6. Step 6: Final answer
    x = 2,665.77

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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.