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Finding the Fourth Proportional to 5,048.70, 7,568.91 and 2,274.54

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Solution

The fourth proportional to 5,048.70, 7,568.91 and 2,274.54 is: 3,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.70 : 7,568.91 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    5,048.70/7,568.91 = 2,274.54/x
  3. Step 3: Cross multiply
    5,048.70x = 7,568.91 × 2,274.54
  4. Step 4: Simplify right side
    5,048.70x = 17,215,788.55
  5. Step 5: Solve for x
    x = 17,215,788.55/5,048.70
  6. Step 6: Final answer
    x = 3,409.94

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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.