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Finding the Fourth Proportional to 5,129.60, 7,694.40 and 1,846.40

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Solution

The fourth proportional to 5,129.60, 7,694.40 and 1,846.40 is: 2,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.60 : 7,694.40 = 1,846.40 : x
  2. Step 2: Convert to fraction form
    5,129.60/7,694.40 = 1,846.40/x
  3. Step 3: Cross multiply
    5,129.60x = 7,694.40 × 1,846.40
  4. Step 4: Simplify right side
    5,129.60x = 14,206,940.16
  5. Step 5: Solve for x
    x = 14,206,940.16/5,129.60
  6. Step 6: Final answer
    x = 2,769.60

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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.