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Finding the Fourth Proportional to 3,401.12, 5,103.14 and 1,842.22

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Solution

The fourth proportional to 3,401.12, 5,103.14 and 1,842.22 is: 2,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.12 : 5,103.14 = 1,842.22 : x
  2. Step 2: Convert to fraction form
    3,401.12/5,103.14 = 1,842.22/x
  3. Step 3: Cross multiply
    3,401.12x = 5,103.14 × 1,842.22
  4. Step 4: Simplify right side
    3,401.12x = 9,401,106.57
  5. Step 5: Solve for x
    x = 9,401,106.57/3,401.12
  6. Step 6: Final answer
    x = 2,764.12

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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.