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Finding the Fourth Proportional to 5,137.84, 7,708.69 and 3,059.04

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Solution

The fourth proportional to 5,137.84, 7,708.69 and 3,059.04 is: 4,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.84 : 7,708.69 = 3,059.04 : x
  2. Step 2: Convert to fraction form
    5,137.84/7,708.69 = 3,059.04/x
  3. Step 3: Cross multiply
    5,137.84x = 7,708.69 × 3,059.04
  4. Step 4: Simplify right side
    5,137.84x = 23,581,191.06
  5. Step 5: Solve for x
    x = 23,581,191.06/5,137.84
  6. Step 6: Final answer
    x = 4,589.71

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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.