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Finding the Fourth Proportional to 5,411.20, 7,467.54 and 3,053.38

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Solution

The fourth proportional to 5,411.20, 7,467.54 and 3,053.38 is: 4,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.20 : 7,467.54 = 3,053.38 : x
  2. Step 2: Convert to fraction form
    5,411.20/7,467.54 = 3,053.38/x
  3. Step 3: Cross multiply
    5,411.20x = 7,467.54 × 3,053.38
  4. Step 4: Simplify right side
    5,411.20x = 22,801,237.29
  5. Step 5: Solve for x
    x = 22,801,237.29/5,411.20
  6. Step 6: Final answer
    x = 4,213.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.