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Finding the Fourth Proportional to 6,027.68, 9,040.56 and 1,645.44

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Solution

The fourth proportional to 6,027.68, 9,040.56 and 1,645.44 is: 2,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.68 : 9,040.56 = 1,645.44 : x
  2. Step 2: Convert to fraction form
    6,027.68/9,040.56 = 1,645.44/x
  3. Step 3: Cross multiply
    6,027.68x = 9,040.56 × 1,645.44
  4. Step 4: Simplify right side
    6,027.68x = 14,875,699.05
  5. Step 5: Solve for x
    x = 14,875,699.05/6,027.68
  6. Step 6: Final answer
    x = 2,467.90

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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.