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Finding the Fourth Proportional to 5,308.27, 7,965.61 and 1,847.95

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Solution

The fourth proportional to 5,308.27, 7,965.61 and 1,847.95 is: 2,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.27 : 7,965.61 = 1,847.95 : x
  2. Step 2: Convert to fraction form
    5,308.27/7,965.61 = 1,847.95/x
  3. Step 3: Cross multiply
    5,308.27x = 7,965.61 × 1,847.95
  4. Step 4: Simplify right side
    5,308.27x = 14,720,039.76
  5. Step 5: Solve for x
    x = 14,720,039.76/5,308.27
  6. Step 6: Final answer
    x = 2,773.04

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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.