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Finding the Fourth Proportional to 4,476.38, 6,173.84 and 2,883.16

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Solution

The fourth proportional to 4,476.38, 6,173.84 and 2,883.16 is: 3,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.38 : 6,173.84 = 2,883.16 : x
  2. Step 2: Convert to fraction form
    4,476.38/6,173.84 = 2,883.16/x
  3. Step 3: Cross multiply
    4,476.38x = 6,173.84 × 2,883.16
  4. Step 4: Simplify right side
    4,476.38x = 17,800,168.53
  5. Step 5: Solve for x
    x = 17,800,168.53/4,476.38
  6. Step 6: Final answer
    x = 3,976.47

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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.