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Finding the Fourth Proportional to 4,214.72, 6,322.04 and 2,016.80

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Solution

The fourth proportional to 4,214.72, 6,322.04 and 2,016.80 is: 3,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.72 : 6,322.04 = 2,016.80 : x
  2. Step 2: Convert to fraction form
    4,214.72/6,322.04 = 2,016.80/x
  3. Step 3: Cross multiply
    4,214.72x = 6,322.04 × 2,016.80
  4. Step 4: Simplify right side
    4,214.72x = 12,750,290.27
  5. Step 5: Solve for x
    x = 12,750,290.27/4,214.72
  6. Step 6: Final answer
    x = 3,025.18

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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.