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Finding the Fourth Proportional to 3,787.56, 5,681.14 and 1,322.33

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Solution

The fourth proportional to 3,787.56, 5,681.14 and 1,322.33 is: 1,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.56 : 5,681.14 = 1,322.33 : x
  2. Step 2: Convert to fraction form
    3,787.56/5,681.14 = 1,322.33/x
  3. Step 3: Cross multiply
    3,787.56x = 5,681.14 × 1,322.33
  4. Step 4: Simplify right side
    3,787.56x = 7,512,310.14
  5. Step 5: Solve for x
    x = 7,512,310.14/3,787.56
  6. Step 6: Final answer
    x = 1,983.42

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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.