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Finding the Fourth Proportional to 5,012.80, 7,516.89 and 1,454.11

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Solution

The fourth proportional to 5,012.80, 7,516.89 and 1,454.11 is: 2,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.80 : 7,516.89 = 1,454.11 : x
  2. Step 2: Convert to fraction form
    5,012.80/7,516.89 = 1,454.11/x
  3. Step 3: Cross multiply
    5,012.80x = 7,516.89 × 1,454.11
  4. Step 4: Simplify right side
    5,012.80x = 10,930,384.92
  5. Step 5: Solve for x
    x = 10,930,384.92/5,012.80
  6. Step 6: Final answer
    x = 2,180.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.