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Finding the Fourth Proportional to 4,949.57, 7,425.39 and 1,829.57

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Solution

The fourth proportional to 4,949.57, 7,425.39 and 1,829.57 is: 2,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.57 : 7,425.39 = 1,829.57 : x
  2. Step 2: Convert to fraction form
    4,949.57/7,425.39 = 1,829.57/x
  3. Step 3: Cross multiply
    4,949.57x = 7,425.39 × 1,829.57
  4. Step 4: Simplify right side
    4,949.57x = 13,585,270.78
  5. Step 5: Solve for x
    x = 13,585,270.78/4,949.57
  6. Step 6: Final answer
    x = 2,744.74

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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.