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Finding the Fourth Proportional to 3,984.72, 5,977.20 and 1,733.04

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Solution

The fourth proportional to 3,984.72, 5,977.20 and 1,733.04 is: 2,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.72 : 5,977.20 = 1,733.04 : x
  2. Step 2: Convert to fraction form
    3,984.72/5,977.20 = 1,733.04/x
  3. Step 3: Cross multiply
    3,984.72x = 5,977.20 × 1,733.04
  4. Step 4: Simplify right side
    3,984.72x = 10,358,726.69
  5. Step 5: Solve for x
    x = 10,358,726.69/3,984.72
  6. Step 6: Final answer
    x = 2,599.61

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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.