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Finding the Fourth Proportional to 4,618.75, 6,928.13 and 1,846.66

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Solution

The fourth proportional to 4,618.75, 6,928.13 and 1,846.66 is: 2,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.75 : 6,928.13 = 1,846.66 : x
  2. Step 2: Convert to fraction form
    4,618.75/6,928.13 = 1,846.66/x
  3. Step 3: Cross multiply
    4,618.75x = 6,928.13 × 1,846.66
  4. Step 4: Simplify right side
    4,618.75x = 12,793,891.31
  5. Step 5: Solve for x
    x = 12,793,891.31/4,618.75
  6. Step 6: Final answer
    x = 2,769.99

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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.