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Finding the Fourth Proportional to 5,308.57, 7,966.32 and 2,021.70

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Solution

The fourth proportional to 5,308.57, 7,966.32 and 2,021.70 is: 3,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.57 : 7,966.32 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    5,308.57/7,966.32 = 2,021.70/x
  3. Step 3: Cross multiply
    5,308.57x = 7,966.32 × 2,021.70
  4. Step 4: Simplify right side
    5,308.57x = 16,105,469.31
  5. Step 5: Solve for x
    x = 16,105,469.31/5,308.57
  6. Step 6: Final answer
    x = 3,033.86

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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.