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Finding the Fourth Proportional to 4,205.39, 6,308.10 and 2,013.62

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Solution

The fourth proportional to 4,205.39, 6,308.10 and 2,013.62 is: 3,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.39 : 6,308.10 = 2,013.62 : x
  2. Step 2: Convert to fraction form
    4,205.39/6,308.10 = 2,013.62/x
  3. Step 3: Cross multiply
    4,205.39x = 6,308.10 × 2,013.62
  4. Step 4: Simplify right side
    4,205.39x = 12,702,084.78
  5. Step 5: Solve for x
    x = 12,702,084.78/4,205.39
  6. Step 6: Final answer
    x = 3,020.43

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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.