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Finding the Fourth Proportional to 4,027.82, 6,040.02 and 1,562.18

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Solution

The fourth proportional to 4,027.82, 6,040.02 and 1,562.18 is: 2,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.82 : 6,040.02 = 1,562.18 : x
  2. Step 2: Convert to fraction form
    4,027.82/6,040.02 = 1,562.18/x
  3. Step 3: Cross multiply
    4,027.82x = 6,040.02 × 1,562.18
  4. Step 4: Simplify right side
    4,027.82x = 9,435,598.44
  5. Step 5: Solve for x
    x = 9,435,598.44/4,027.82
  6. Step 6: Final answer
    x = 2,342.61

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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.