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Finding the Fourth Proportional to 6,178.26, 8,527.17 and 3,821.46

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Solution

The fourth proportional to 6,178.26, 8,527.17 and 3,821.46 is: 5,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.26 : 8,527.17 = 3,821.46 : x
  2. Step 2: Convert to fraction form
    6,178.26/8,527.17 = 3,821.46/x
  3. Step 3: Cross multiply
    6,178.26x = 8,527.17 × 3,821.46
  4. Step 4: Simplify right side
    6,178.26x = 32,586,239.07
  5. Step 5: Solve for x
    x = 32,586,239.07/6,178.26
  6. Step 6: Final answer
    x = 5,274.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.