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Finding the Fourth Proportional to 3,914.66, 5,401.04 and 2,422.05

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Solution

The fourth proportional to 3,914.66, 5,401.04 and 2,422.05 is: 3,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.66 : 5,401.04 = 2,422.05 : x
  2. Step 2: Convert to fraction form
    3,914.66/5,401.04 = 2,422.05/x
  3. Step 3: Cross multiply
    3,914.66x = 5,401.04 × 2,422.05
  4. Step 4: Simplify right side
    3,914.66x = 13,081,576.82
  5. Step 5: Solve for x
    x = 13,081,576.82/3,914.66
  6. Step 6: Final answer
    x = 3,341.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.