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Finding the Fourth Proportional to 4,016.80, 6,023.12 and 1,419.36

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Solution

The fourth proportional to 4,016.80, 6,023.12 and 1,419.36 is: 2,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.80 : 6,023.12 = 1,419.36 : x
  2. Step 2: Convert to fraction form
    4,016.80/6,023.12 = 1,419.36/x
  3. Step 3: Cross multiply
    4,016.80x = 6,023.12 × 1,419.36
  4. Step 4: Simplify right side
    4,016.80x = 8,548,975.60
  5. Step 5: Solve for x
    x = 8,548,975.60/4,016.80
  6. Step 6: Final answer
    x = 2,128.31

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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.