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Finding the Fourth Proportional to 4,563.93, 6,845.94 and 1,443.88

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Solution

The fourth proportional to 4,563.93, 6,845.94 and 1,443.88 is: 2,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.93 : 6,845.94 = 1,443.88 : x
  2. Step 2: Convert to fraction form
    4,563.93/6,845.94 = 1,443.88/x
  3. Step 3: Cross multiply
    4,563.93x = 6,845.94 × 1,443.88
  4. Step 4: Simplify right side
    4,563.93x = 9,884,698.73
  5. Step 5: Solve for x
    x = 9,884,698.73/4,563.93
  6. Step 6: Final answer
    x = 2,165.83

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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.