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Finding the Fourth Proportional to 3,787.40, 5,681.43 and 1,322.18

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Solution

The fourth proportional to 3,787.40, 5,681.43 and 1,322.18 is: 1,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.40 : 5,681.43 = 1,322.18 : x
  2. Step 2: Convert to fraction form
    3,787.40/5,681.43 = 1,322.18/x
  3. Step 3: Cross multiply
    3,787.40x = 5,681.43 × 1,322.18
  4. Step 4: Simplify right side
    3,787.40x = 7,511,873.12
  5. Step 5: Solve for x
    x = 7,511,873.12/3,787.40
  6. Step 6: Final answer
    x = 1,983.39

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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.