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Finding the Fourth Proportional to 3,876.46, 5,814.56 and 1,685.19

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Solution

The fourth proportional to 3,876.46, 5,814.56 and 1,685.19 is: 2,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.46 : 5,814.56 = 1,685.19 : x
  2. Step 2: Convert to fraction form
    3,876.46/5,814.56 = 1,685.19/x
  3. Step 3: Cross multiply
    3,876.46x = 5,814.56 × 1,685.19
  4. Step 4: Simplify right side
    3,876.46x = 9,798,638.37
  5. Step 5: Solve for x
    x = 9,798,638.37/3,876.46
  6. Step 6: Final answer
    x = 2,527.73

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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.