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Finding the Fourth Proportional to 4,763.28, 7,145.88 and 1,687.44

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Solution

The fourth proportional to 4,763.28, 7,145.88 and 1,687.44 is: 2,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.28 : 7,145.88 = 1,687.44 : x
  2. Step 2: Convert to fraction form
    4,763.28/7,145.88 = 1,687.44/x
  3. Step 3: Cross multiply
    4,763.28x = 7,145.88 × 1,687.44
  4. Step 4: Simplify right side
    4,763.28x = 12,058,243.75
  5. Step 5: Solve for x
    x = 12,058,243.75/4,763.28
  6. Step 6: Final answer
    x = 2,531.50

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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.