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Finding the Fourth Proportional to 5,847.66, 8,770.20 and 1,686.75

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Solution

The fourth proportional to 5,847.66, 8,770.20 and 1,686.75 is: 2,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.66 : 8,770.20 = 1,686.75 : x
  2. Step 2: Convert to fraction form
    5,847.66/8,770.20 = 1,686.75/x
  3. Step 3: Cross multiply
    5,847.66x = 8,770.20 × 1,686.75
  4. Step 4: Simplify right side
    5,847.66x = 14,793,134.85
  5. Step 5: Solve for x
    x = 14,793,134.85/5,847.66
  6. Step 6: Final answer
    x = 2,529.75

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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.