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Finding the Fourth Proportional to 3,606.49, 5,400.39 and 3,089.80

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Solution

The fourth proportional to 3,606.49, 5,400.39 and 3,089.80 is: 4,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.49 : 5,400.39 = 3,089.80 : x
  2. Step 2: Convert to fraction form
    3,606.49/5,400.39 = 3,089.80/x
  3. Step 3: Cross multiply
    3,606.49x = 5,400.39 × 3,089.80
  4. Step 4: Simplify right side
    3,606.49x = 16,686,125.02
  5. Step 5: Solve for x
    x = 16,686,125.02/3,606.49
  6. Step 6: Final answer
    x = 4,626.69

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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.