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Finding the Fourth Proportional to 4,496, 6,736.48 and 3,676

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Solution

The fourth proportional to 4,496, 6,736.48 and 3,676 is: 5,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496 : 6,736.48 = 3,676 : x
  2. Step 2: Convert to fraction form
    4,496/6,736.48 = 3,676/x
  3. Step 3: Cross multiply
    4,496x = 6,736.48 × 3,676
  4. Step 4: Simplify right side
    4,496x = 24,763,300.48
  5. Step 5: Solve for x
    x = 24,763,300.48/4,496
  6. Step 6: Final answer
    x = 5,507.85

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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.