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Finding the Fourth Proportional to 3,722.39, 5,583.49 and 949.07

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Solution

The fourth proportional to 3,722.39, 5,583.49 and 949.07 is: 1,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.39 : 5,583.49 = 949.07 : x
  2. Step 2: Convert to fraction form
    3,722.39/5,583.49 = 949.07/x
  3. Step 3: Cross multiply
    3,722.39x = 5,583.49 × 949.07
  4. Step 4: Simplify right side
    3,722.39x = 5,299,134.44
  5. Step 5: Solve for x
    x = 5,299,134.44/3,722.39
  6. Step 6: Final answer
    x = 1,423.59

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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.