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Finding the Fourth Proportional to 3,787.65, 5,682.44 and 1,322.52

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Solution

The fourth proportional to 3,787.65, 5,682.44 and 1,322.52 is: 1,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.65 : 5,682.44 = 1,322.52 : x
  2. Step 2: Convert to fraction form
    3,787.65/5,682.44 = 1,322.52/x
  3. Step 3: Cross multiply
    3,787.65x = 5,682.44 × 1,322.52
  4. Step 4: Simplify right side
    3,787.65x = 7,515,140.55
  5. Step 5: Solve for x
    x = 7,515,140.55/3,787.65
  6. Step 6: Final answer
    x = 1,984.12

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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.