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Finding the Fourth Proportional to 4,563.61, 6,845.40 and 1,443.92

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Solution

The fourth proportional to 4,563.61, 6,845.40 and 1,443.92 is: 2,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.61 : 6,845.40 = 1,443.92 : x
  2. Step 2: Convert to fraction form
    4,563.61/6,845.40 = 1,443.92/x
  3. Step 3: Cross multiply
    4,563.61x = 6,845.40 × 1,443.92
  4. Step 4: Simplify right side
    4,563.61x = 9,884,209.97
  5. Step 5: Solve for x
    x = 9,884,209.97/4,563.61
  6. Step 6: Final answer
    x = 2,165.88

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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.