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Finding the Fourth Proportional to 4,141.17, 6,206.22 and 3,452.22

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Solution

The fourth proportional to 4,141.17, 6,206.22 and 3,452.22 is: 5,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.17 : 6,206.22 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    4,141.17/6,206.22 = 3,452.22/x
  3. Step 3: Cross multiply
    4,141.17x = 6,206.22 × 3,452.22
  4. Step 4: Simplify right side
    4,141.17x = 21,425,236.81
  5. Step 5: Solve for x
    x = 21,425,236.81/4,141.17
  6. Step 6: Final answer
    x = 5,173.72

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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.