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Finding the Fourth Proportional to 4,854.12, 7,284.20 and 2,221.20

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Solution

The fourth proportional to 4,854.12, 7,284.20 and 2,221.20 is: 3,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.12 : 7,284.20 = 2,221.20 : x
  2. Step 2: Convert to fraction form
    4,854.12/7,284.20 = 2,221.20/x
  3. Step 3: Cross multiply
    4,854.12x = 7,284.20 × 2,221.20
  4. Step 4: Simplify right side
    4,854.12x = 16,179,665.04
  5. Step 5: Solve for x
    x = 16,179,665.04/4,854.12
  6. Step 6: Final answer
    x = 3,333.18

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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.