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Finding the Fourth Proportional to 3,628.11, 5,437.04 and 1,546.02

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Solution

The fourth proportional to 3,628.11, 5,437.04 and 1,546.02 is: 2,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.11 : 5,437.04 = 1,546.02 : x
  2. Step 2: Convert to fraction form
    3,628.11/5,437.04 = 1,546.02/x
  3. Step 3: Cross multiply
    3,628.11x = 5,437.04 × 1,546.02
  4. Step 4: Simplify right side
    3,628.11x = 8,405,764.85
  5. Step 5: Solve for x
    x = 8,405,764.85/3,628.11
  6. Step 6: Final answer
    x = 2,316.84

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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.