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Finding the Fourth Proportional to 4,482, 6,185.16 and 2,619

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Solution

The fourth proportional to 4,482, 6,185.16 and 2,619 is: 3,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482 : 6,185.16 = 2,619 : x
  2. Step 2: Convert to fraction form
    4,482/6,185.16 = 2,619/x
  3. Step 3: Cross multiply
    4,482x = 6,185.16 × 2,619
  4. Step 4: Simplify right side
    4,482x = 16,198,934.04
  5. Step 5: Solve for x
    x = 16,198,934.04/4,482
  6. Step 6: Final answer
    x = 3,614.22

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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.