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Finding the Fourth Proportional to 3,787.75, 5,680.38 and 1,322.02

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Solution

The fourth proportional to 3,787.75, 5,680.38 and 1,322.02 is: 1,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.75 : 5,680.38 = 1,322.02 : x
  2. Step 2: Convert to fraction form
    3,787.75/5,680.38 = 1,322.02/x
  3. Step 3: Cross multiply
    3,787.75x = 5,680.38 × 1,322.02
  4. Step 4: Simplify right side
    3,787.75x = 7,509,547.57
  5. Step 5: Solve for x
    x = 7,509,547.57/3,787.75
  6. Step 6: Final answer
    x = 1,982.59

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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.