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Finding the Fourth Proportional to 3,758.77, 5,639.45 and 1,680.21

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Solution

The fourth proportional to 3,758.77, 5,639.45 and 1,680.21 is: 2,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.77 : 5,639.45 = 1,680.21 : x
  2. Step 2: Convert to fraction form
    3,758.77/5,639.45 = 1,680.21/x
  3. Step 3: Cross multiply
    3,758.77x = 5,639.45 × 1,680.21
  4. Step 4: Simplify right side
    3,758.77x = 9,475,451.88
  5. Step 5: Solve for x
    x = 9,475,451.88/3,758.77
  6. Step 6: Final answer
    x = 2,520.89

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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.