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Finding the Fourth Proportional to 3,546.81, 5,320.22 and 949.82

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Solution

The fourth proportional to 3,546.81, 5,320.22 and 949.82 is: 1,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.81 : 5,320.22 = 949.82 : x
  2. Step 2: Convert to fraction form
    3,546.81/5,320.22 = 949.82/x
  3. Step 3: Cross multiply
    3,546.81x = 5,320.22 × 949.82
  4. Step 4: Simplify right side
    3,546.81x = 5,053,220.01
  5. Step 5: Solve for x
    x = 5,053,220.01/3,546.81
  6. Step 6: Final answer
    x = 1,424.72

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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.