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Finding the Fourth Proportional to 4,607.99, 6,912.44 and 1,976.40

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Solution

The fourth proportional to 4,607.99, 6,912.44 and 1,976.40 is: 2,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.99 : 6,912.44 = 1,976.40 : x
  2. Step 2: Convert to fraction form
    4,607.99/6,912.44 = 1,976.40/x
  3. Step 3: Cross multiply
    4,607.99x = 6,912.44 × 1,976.40
  4. Step 4: Simplify right side
    4,607.99x = 13,661,743.95
  5. Step 5: Solve for x
    x = 13,661,743.95/4,607.99
  6. Step 6: Final answer
    x = 2,964.80

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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.