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Finding the Fourth Proportional to 5,084.45, 7,624.17 and 1,797.06

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Solution

The fourth proportional to 5,084.45, 7,624.17 and 1,797.06 is: 2,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.45 : 7,624.17 = 1,797.06 : x
  2. Step 2: Convert to fraction form
    5,084.45/7,624.17 = 1,797.06/x
  3. Step 3: Cross multiply
    5,084.45x = 7,624.17 × 1,797.06
  4. Step 4: Simplify right side
    5,084.45x = 13,701,090.94
  5. Step 5: Solve for x
    x = 13,701,090.94/5,084.45
  6. Step 6: Final answer
    x = 2,694.71

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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.