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Finding the Fourth Proportional to 3,976.50, 5,488.05 and 2,320.50

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Solution

The fourth proportional to 3,976.50, 5,488.05 and 2,320.50 is: 3,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.50 : 5,488.05 = 2,320.50 : x
  2. Step 2: Convert to fraction form
    3,976.50/5,488.05 = 2,320.50/x
  3. Step 3: Cross multiply
    3,976.50x = 5,488.05 × 2,320.50
  4. Step 4: Simplify right side
    3,976.50x = 12,735,020.03
  5. Step 5: Solve for x
    x = 12,735,020.03/3,976.50
  6. Step 6: Final answer
    x = 3,202.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.