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Finding the Fourth Proportional to 4,451.45, 6,145.31 and 4,156.97

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Solution

The fourth proportional to 4,451.45, 6,145.31 and 4,156.97 is: 5,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.45 : 6,145.31 = 4,156.97 : x
  2. Step 2: Convert to fraction form
    4,451.45/6,145.31 = 4,156.97/x
  3. Step 3: Cross multiply
    4,451.45x = 6,145.31 × 4,156.97
  4. Step 4: Simplify right side
    4,451.45x = 25,545,848.98
  5. Step 5: Solve for x
    x = 25,545,848.98/4,451.45
  6. Step 6: Final answer
    x = 5,738.78

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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.