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Finding the Fourth Proportional to 5,847.75, 8,771.76 and 2,385

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Solution

The fourth proportional to 5,847.75, 8,771.76 and 2,385 is: 3,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.75 : 8,771.76 = 2,385 : x
  2. Step 2: Convert to fraction form
    5,847.75/8,771.76 = 2,385/x
  3. Step 3: Cross multiply
    5,847.75x = 8,771.76 × 2,385
  4. Step 4: Simplify right side
    5,847.75x = 20,920,647.60
  5. Step 5: Solve for x
    x = 20,920,647.60/5,847.75
  6. Step 6: Final answer
    x = 3,577.56

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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.