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Finding the Fourth Proportional to 4,496.39, 6,744.57 and 1,209.48

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Solution

The fourth proportional to 4,496.39, 6,744.57 and 1,209.48 is: 1,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.39 : 6,744.57 = 1,209.48 : x
  2. Step 2: Convert to fraction form
    4,496.39/6,744.57 = 1,209.48/x
  3. Step 3: Cross multiply
    4,496.39x = 6,744.57 × 1,209.48
  4. Step 4: Simplify right side
    4,496.39x = 8,157,422.52
  5. Step 5: Solve for x
    x = 8,157,422.52/4,496.39
  6. Step 6: Final answer
    x = 1,814.22

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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.