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Finding the Fourth Proportional to 4,493.88, 6,738.38 and 2,416.36

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Solution

The fourth proportional to 4,493.88, 6,738.38 and 2,416.36 is: 3,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.88 : 6,738.38 = 2,416.36 : x
  2. Step 2: Convert to fraction form
    4,493.88/6,738.38 = 2,416.36/x
  3. Step 3: Cross multiply
    4,493.88x = 6,738.38 × 2,416.36
  4. Step 4: Simplify right side
    4,493.88x = 16,282,351.90
  5. Step 5: Solve for x
    x = 16,282,351.90/4,493.88
  6. Step 6: Final answer
    x = 3,623.23

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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.