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Finding the Fourth Proportional to 5,847.15, 8,771.18 and 1,951.56

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Solution

The fourth proportional to 5,847.15, 8,771.18 and 1,951.56 is: 2,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.15 : 8,771.18 = 1,951.56 : x
  2. Step 2: Convert to fraction form
    5,847.15/8,771.18 = 1,951.56/x
  3. Step 3: Cross multiply
    5,847.15x = 8,771.18 × 1,951.56
  4. Step 4: Simplify right side
    5,847.15x = 17,117,474.28
  5. Step 5: Solve for x
    x = 17,117,474.28/5,847.15
  6. Step 6: Final answer
    x = 2,927.49

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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.