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Finding the Fourth Proportional to 4,976.87, 7,462.72 and 1,466.42

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Solution

The fourth proportional to 4,976.87, 7,462.72 and 1,466.42 is: 2,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.87 : 7,462.72 = 1,466.42 : x
  2. Step 2: Convert to fraction form
    4,976.87/7,462.72 = 1,466.42/x
  3. Step 3: Cross multiply
    4,976.87x = 7,462.72 × 1,466.42
  4. Step 4: Simplify right side
    4,976.87x = 10,943,481.86
  5. Step 5: Solve for x
    x = 10,943,481.86/4,976.87
  6. Step 6: Final answer
    x = 2,198.87

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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.