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Finding the Fourth Proportional to 3,732.45, 5,588.96 and 1,992.57

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Solution

The fourth proportional to 3,732.45, 5,588.96 and 1,992.57 is: 2,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.45 : 5,588.96 = 1,992.57 : x
  2. Step 2: Convert to fraction form
    3,732.45/5,588.96 = 1,992.57/x
  3. Step 3: Cross multiply
    3,732.45x = 5,588.96 × 1,992.57
  4. Step 4: Simplify right side
    3,732.45x = 11,136,384.06
  5. Step 5: Solve for x
    x = 11,136,384.06/3,732.45
  6. Step 6: Final answer
    x = 2,983.67

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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.