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Finding the Fourth Proportional to 5,842.33, 8,762.78 and 1,682.24

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Solution

The fourth proportional to 5,842.33, 8,762.78 and 1,682.24 is: 2,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.33 : 8,762.78 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    5,842.33/8,762.78 = 1,682.24/x
  3. Step 3: Cross multiply
    5,842.33x = 8,762.78 × 1,682.24
  4. Step 4: Simplify right side
    5,842.33x = 14,741,059.42
  5. Step 5: Solve for x
    x = 14,741,059.42/5,842.33
  6. Step 6: Final answer
    x = 2,523.15

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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.