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Finding the Fourth Proportional to 4,809.43, 7,209.89 and 1,687.49

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Solution

The fourth proportional to 4,809.43, 7,209.89 and 1,687.49 is: 2,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.43 : 7,209.89 = 1,687.49 : x
  2. Step 2: Convert to fraction form
    4,809.43/7,209.89 = 1,687.49/x
  3. Step 3: Cross multiply
    4,809.43x = 7,209.89 × 1,687.49
  4. Step 4: Simplify right side
    4,809.43x = 12,166,617.28
  5. Step 5: Solve for x
    x = 12,166,617.28/4,809.43
  6. Step 6: Final answer
    x = 2,529.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.