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Finding the Fourth Proportional to 5,364.27, 8,039.12 and 3,982.82

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Solution

The fourth proportional to 5,364.27, 8,039.12 and 3,982.82 is: 5,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.27 : 8,039.12 = 3,982.82 : x
  2. Step 2: Convert to fraction form
    5,364.27/8,039.12 = 3,982.82/x
  3. Step 3: Cross multiply
    5,364.27x = 8,039.12 × 3,982.82
  4. Step 4: Simplify right side
    5,364.27x = 32,018,307.81
  5. Step 5: Solve for x
    x = 32,018,307.81/5,364.27
  6. Step 6: Final answer
    x = 5,968.81

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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.