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Finding the Fourth Proportional to 3,857.70, 5,787.76 and 1,667.46

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Solution

The fourth proportional to 3,857.70, 5,787.76 and 1,667.46 is: 2,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.70 : 5,787.76 = 1,667.46 : x
  2. Step 2: Convert to fraction form
    3,857.70/5,787.76 = 1,667.46/x
  3. Step 3: Cross multiply
    3,857.70x = 5,787.76 × 1,667.46
  4. Step 4: Simplify right side
    3,857.70x = 9,650,858.29
  5. Step 5: Solve for x
    x = 9,650,858.29/3,857.70
  6. Step 6: Final answer
    x = 2,501.71

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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.