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Finding the Fourth Proportional to 5,842.24, 8,761.86 and 1,682.26

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Solution

The fourth proportional to 5,842.24, 8,761.86 and 1,682.26 is: 2,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.24 : 8,761.86 = 1,682.26 : x
  2. Step 2: Convert to fraction form
    5,842.24/8,761.86 = 1,682.26/x
  3. Step 3: Cross multiply
    5,842.24x = 8,761.86 × 1,682.26
  4. Step 4: Simplify right side
    5,842.24x = 14,739,726.60
  5. Step 5: Solve for x
    x = 14,739,726.60/5,842.24
  6. Step 6: Final answer
    x = 2,522.96

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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.