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Finding the Fourth Proportional to 5,847.46, 8,768.68 and 1,686.47

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Solution

The fourth proportional to 5,847.46, 8,768.68 and 1,686.47 is: 2,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.46 : 8,768.68 = 1,686.47 : x
  2. Step 2: Convert to fraction form
    5,847.46/8,768.68 = 1,686.47/x
  3. Step 3: Cross multiply
    5,847.46x = 8,768.68 × 1,686.47
  4. Step 4: Simplify right side
    5,847.46x = 14,788,067.70
  5. Step 5: Solve for x
    x = 14,788,067.70/5,847.46
  6. Step 6: Final answer
    x = 2,528.97

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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.