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Finding the Fourth Proportional to 4,204.54, 6,308.18 and 2,122.81

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Solution

The fourth proportional to 4,204.54, 6,308.18 and 2,122.81 is: 3,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.54 : 6,308.18 = 2,122.81 : x
  2. Step 2: Convert to fraction form
    4,204.54/6,308.18 = 2,122.81/x
  3. Step 3: Cross multiply
    4,204.54x = 6,308.18 × 2,122.81
  4. Step 4: Simplify right side
    4,204.54x = 13,391,049.16
  5. Step 5: Solve for x
    x = 13,391,049.16/4,204.54
  6. Step 6: Final answer
    x = 3,184.90

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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.