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Finding the Fourth Proportional to 3,488.06, 5,231.82 and 890.76

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Solution

The fourth proportional to 3,488.06, 5,231.82 and 890.76 is: 1,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.06 : 5,231.82 = 890.76 : x
  2. Step 2: Convert to fraction form
    3,488.06/5,231.82 = 890.76/x
  3. Step 3: Cross multiply
    3,488.06x = 5,231.82 × 890.76
  4. Step 4: Simplify right side
    3,488.06x = 4,660,295.98
  5. Step 5: Solve for x
    x = 4,660,295.98/3,488.06
  6. Step 6: Final answer
    x = 1,336.07

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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.