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Finding the Fourth Proportional to 4,863.43, 7,285.02 and 2,914.57

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Solution

The fourth proportional to 4,863.43, 7,285.02 and 2,914.57 is: 4,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.43 : 7,285.02 = 2,914.57 : x
  2. Step 2: Convert to fraction form
    4,863.43/7,285.02 = 2,914.57/x
  3. Step 3: Cross multiply
    4,863.43x = 7,285.02 × 2,914.57
  4. Step 4: Simplify right side
    4,863.43x = 21,232,700.74
  5. Step 5: Solve for x
    x = 21,232,700.74/4,863.43
  6. Step 6: Final answer
    x = 4,365.79

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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.