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Finding the Fourth Proportional to 4,842.88, 7,265.12 and 1,722.22

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Solution

The fourth proportional to 4,842.88, 7,265.12 and 1,722.22 is: 2,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.88 : 7,265.12 = 1,722.22 : x
  2. Step 2: Convert to fraction form
    4,842.88/7,265.12 = 1,722.22/x
  3. Step 3: Cross multiply
    4,842.88x = 7,265.12 × 1,722.22
  4. Step 4: Simplify right side
    4,842.88x = 12,512,164.12
  5. Step 5: Solve for x
    x = 12,512,164.12/4,842.88
  6. Step 6: Final answer
    x = 2,583.62

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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.