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Finding the Fourth Proportional to 4,323.42, 6,489.63 and 3,832.96

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Solution

The fourth proportional to 4,323.42, 6,489.63 and 3,832.96 is: 5,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.42 : 6,489.63 = 3,832.96 : x
  2. Step 2: Convert to fraction form
    4,323.42/6,489.63 = 3,832.96/x
  3. Step 3: Cross multiply
    4,323.42x = 6,489.63 × 3,832.96
  4. Step 4: Simplify right side
    4,323.42x = 24,874,492.20
  5. Step 5: Solve for x
    x = 24,874,492.20/4,323.42
  6. Step 6: Final answer
    x = 5,753.43

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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.