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Finding the Fourth Proportional to 4,493.48, 6,740.22 and 2,183

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Solution

The fourth proportional to 4,493.48, 6,740.22 and 2,183 is: 3,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.48 : 6,740.22 = 2,183 : x
  2. Step 2: Convert to fraction form
    4,493.48/6,740.22 = 2,183/x
  3. Step 3: Cross multiply
    4,493.48x = 6,740.22 × 2,183
  4. Step 4: Simplify right side
    4,493.48x = 14,713,900.26
  5. Step 5: Solve for x
    x = 14,713,900.26/4,493.48
  6. Step 6: Final answer
    x = 3,274.50

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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.