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Finding the Fourth Proportional to 5,310.67, 7,966.14 and 1,847.92

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Solution

The fourth proportional to 5,310.67, 7,966.14 and 1,847.92 is: 2,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.67 : 7,966.14 = 1,847.92 : x
  2. Step 2: Convert to fraction form
    5,310.67/7,966.14 = 1,847.92/x
  3. Step 3: Cross multiply
    5,310.67x = 7,966.14 × 1,847.92
  4. Step 4: Simplify right side
    5,310.67x = 14,720,789.43
  5. Step 5: Solve for x
    x = 14,720,789.43/5,310.67
  6. Step 6: Final answer
    x = 2,771.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.