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Finding the Fourth Proportional to 5,843.66, 8,763.33 and 1,682.27

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Solution

The fourth proportional to 5,843.66, 8,763.33 and 1,682.27 is: 2,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.66 : 8,763.33 = 1,682.27 : x
  2. Step 2: Convert to fraction form
    5,843.66/8,763.33 = 1,682.27/x
  3. Step 3: Cross multiply
    5,843.66x = 8,763.33 × 1,682.27
  4. Step 4: Simplify right side
    5,843.66x = 14,742,234.93
  5. Step 5: Solve for x
    x = 14,742,234.93/5,843.66
  6. Step 6: Final answer
    x = 2,522.77

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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.