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Finding the Fourth Proportional to 3,491.34, 5,236.38 and 992.69

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Solution

The fourth proportional to 3,491.34, 5,236.38 and 992.69 is: 1,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.34 : 5,236.38 = 992.69 : x
  2. Step 2: Convert to fraction form
    3,491.34/5,236.38 = 992.69/x
  3. Step 3: Cross multiply
    3,491.34x = 5,236.38 × 992.69
  4. Step 4: Simplify right side
    3,491.34x = 5,198,095.52
  5. Step 5: Solve for x
    x = 5,198,095.52/3,491.34
  6. Step 6: Final answer
    x = 1,488.86

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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.