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Finding the Fourth Proportional to 6,288.68, 8,678.61 and 3,769.94

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Solution

The fourth proportional to 6,288.68, 8,678.61 and 3,769.94 is: 5,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.68 : 8,678.61 = 3,769.94 : x
  2. Step 2: Convert to fraction form
    6,288.68/8,678.61 = 3,769.94/x
  3. Step 3: Cross multiply
    6,288.68x = 8,678.61 × 3,769.94
  4. Step 4: Simplify right side
    6,288.68x = 32,717,838.98
  5. Step 5: Solve for x
    x = 32,717,838.98/6,288.68
  6. Step 6: Final answer
    x = 5,202.66

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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.