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Finding the Fourth Proportional to 4,019.46, 6,027.03 and 1,422.06

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Solution

The fourth proportional to 4,019.46, 6,027.03 and 1,422.06 is: 2,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.46 : 6,027.03 = 1,422.06 : x
  2. Step 2: Convert to fraction form
    4,019.46/6,027.03 = 1,422.06/x
  3. Step 3: Cross multiply
    4,019.46x = 6,027.03 × 1,422.06
  4. Step 4: Simplify right side
    4,019.46x = 8,570,798.28
  5. Step 5: Solve for x
    x = 8,570,798.28/4,019.46
  6. Step 6: Final answer
    x = 2,132.33

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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.