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Finding the Fourth Proportional to 5,404.98, 7,451.47 and 3,414.54

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Solution

The fourth proportional to 5,404.98, 7,451.47 and 3,414.54 is: 4,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.98 : 7,451.47 = 3,414.54 : x
  2. Step 2: Convert to fraction form
    5,404.98/7,451.47 = 3,414.54/x
  3. Step 3: Cross multiply
    5,404.98x = 7,451.47 × 3,414.54
  4. Step 4: Simplify right side
    5,404.98x = 25,443,342.37
  5. Step 5: Solve for x
    x = 25,443,342.37/5,404.98
  6. Step 6: Final answer
    x = 4,707.39

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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.