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Finding the Fourth Proportional to 3,624.05, 5,436.08 and 1,027.01

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Solution

The fourth proportional to 3,624.05, 5,436.08 and 1,027.01 is: 1,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.05 : 5,436.08 = 1,027.01 : x
  2. Step 2: Convert to fraction form
    3,624.05/5,436.08 = 1,027.01/x
  3. Step 3: Cross multiply
    3,624.05x = 5,436.08 × 1,027.01
  4. Step 4: Simplify right side
    3,624.05x = 5,582,908.52
  5. Step 5: Solve for x
    x = 5,582,908.52/3,624.05
  6. Step 6: Final answer
    x = 1,540.52

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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.