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Finding the Fourth Proportional to 4,497, 6,205.92 and 2,634

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Solution

The fourth proportional to 4,497, 6,205.92 and 2,634 is: 3,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497 : 6,205.92 = 2,634 : x
  2. Step 2: Convert to fraction form
    4,497/6,205.92 = 2,634/x
  3. Step 3: Cross multiply
    4,497x = 6,205.92 × 2,634
  4. Step 4: Simplify right side
    4,497x = 16,346,393.28
  5. Step 5: Solve for x
    x = 16,346,393.28/4,497
  6. Step 6: Final answer
    x = 3,634.96

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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.